%!PS-Adobe-2.0 %%Creator: dvips 5.58 Copyright 1986, 1994 Radical Eye Software %%Title: f:bremen.dvi %%CreationDate: Mon Sep 25 19:57:00 2000 %%Pages: 12 %%PageOrder: Ascend %%BoundingBox: 0 0 596 842 %%EndComments %DVIPSCommandLine: DVIPS16 -a f:bremen %DVIPSParameters: dpi=300, compressed, comments removed %DVIPSSource: TeX output 2000.09.21:1235 %%BeginProcSet: texc.pro /TeXDict 250 dict def TeXDict begin /N{def}def /B{bind def}N /S{exch}N /X{S N}B /TR{translate}N /isls false N /vsize 11 72 mul N /hsize 8.5 72 mul N /landplus90{false}def /@rigin{isls{[0 landplus90{1 -1}{-1 1} ifelse 0 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[matrix currentmatrix{dup dup round sub abs 0.00001 lt{round}if} forall round exch round exch]setmatrix}N /@landscape{/isls true N}B /@manualfeed{statusdict /manualfeed true put}B /@copies{/#copies 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Fm(V)l(ec)q Fl(\))116 1097 y(ther)n(e)g(is)g(a)h(unique) j Fj(h)12 b Fk(2)h Fj(H)20 b Fl(such)c(that)p 848 1214 50 2 v 855 1197 a Fj(P)p 872 1263 2 50 v 872 1267 2 5 v 872 1313 V 850 1267 45 2 v 850 1309 2 42 v 862 1295 a Ff(\031)p 893 1309 V 850 1311 45 2 v 872 1363 2 50 v 855 1412 a Fj(P)p 848 1363 50 2 v 910 1299 a Fm(=)p 958 1214 100 2 v 965 1197 a Fj(P)p 982 1313 2 100 v 1032 1267 2 5 v 1032 1313 V 1010 1267 45 2 v 1010 1309 2 42 v 1023 1299 a Ff(h)p 1054 1309 V 1010 1311 45 2 v 1032 1329 2 17 v 983 1330 50 2 v 991 1343 a Fd(\020)983 1346 y(\020)p 982 1363 2 50 v 965 1412 a Fj(P)p 958 1363 100 2 v 1074 1299 a(:)155 1511 y Fm(Actually)e(this)f(theorem)f(sa)o(ys)g (that)g(the)h(algebra)f Fj(H)k Fm(can)d(b)q(e)g(reconstructed)g(from)e (the)i(natural)116 1568 y(endomorphisms)j(of)f(the)g(underlying)i (functor)e Fj(!)g Fm(:)d(Mo)q(d-)p Fj(H)k Fk(\000)-26 b(!)13 b Fm(V)l(ec)q(.)155 1627 y(No)o(w)i(w)o(e)g(study)g(a)g(similar) h(univ)o(ersal)h(problem)f(for)e(the)h(tensor)g(pro)q(duct)h 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1560 a Fj(P)g(H)p 934 1511 150 2 v 1098 1372 a(:)42 1634 y Fm(These)22 b(mo)q(dules)h(form)f(the)g(category)f Fk(Y)t(D)826 1616 y Ff(H)826 1645 y(H)882 1634 y Fm(of)h Fl(Y)m(etter-)g(Drinfeld)g(mo)n(dules)g Fm(o)o(v)o(er)g Fj(H)t Fm(.)40 b(The)42 1690 y(compatibilit)o(y)18 b(condition)h(has)e (b)q(een)h(kno)o(wn)f(for)g(long)g(in)h(the)f(case)h(of)e(crossed)i Fj(G)p Fm(-sets)e(o)o(v)o(er)h(a)42 1747 y(group)d Fj(G)p Fm(.)20 b(The)15 b(magic)h(of)f(this)g(compatibilit)o(y)i(condition)f (is)42 1857 y Fi(Prop)q(osition)i(3.1)23 b Fm(\(Y)l(etter)f([15)o(]\))g Fl(The)h(c)n(ate)n(gory)g(of)h(Y)m(etter-Drinfeld)e(mo)n(dules)h Fk(Y)t(D)1608 1839 y Ff(H)1608 1868 y(H)1665 1857 y Fl(is)f(a)42 1913 y(br)n(aide)n(d)16 b(monoidal)g(c)n(ate)n(gory)g(with)h(the)g(br)n (aiding)383 2017 y Fj(\034)5 b Fm(\()p Fj(P)q(;)j(Q)p Fm(\))j(:)h Fj(P)17 b Fk(\012)11 b Fj(Q)h Fk(\000)-25 b(!)13 b Fj(Q)d Fk(\012)h Fj(P)q(;)d(p)i Fk(\012)g Fj(q)15 b Fk(7!)1089 1977 y Fc(X)1156 2017 y Fj(q)1176 2027 y Fg(\(0\))1234 2017 y Fk(\012)10 b Fj(p)g Fk(\001)g Fj(q)1355 2027 y Fg(\(1\))42 2121 y Fl(or)p 828 2178 100 2 v 835 2161 a Fj(P)885 2152 y(Q)p 852 2227 2 50 v 952 2227 2 17 v 903 2211 50 2 v 911 2210 a Fd(P)903 2208 y(P)p 902 2227 2 50 v 853 2228 2 2 v 853 2228 V 853 2229 V 853 2230 V 853 2230 V 853 2231 V 853 2231 V 853 2232 V 854 2232 V 854 2233 V 854 2233 V 854 2234 V 854 2234 V 854 2235 V 854 2235 V 855 2236 V 855 2236 V 855 2237 V 855 2237 V 856 2238 V 856 2238 V 856 2239 V 856 2239 V 857 2239 V 857 2240 V 857 2240 V 858 2241 V 858 2241 V 859 2242 V 859 2242 V 859 2242 V 860 2243 V 860 2243 V 861 2244 V 861 2244 V 862 2244 V 862 2245 V 863 2245 V 863 2246 V 864 2246 V 864 2246 V 865 2247 V 865 2247 V 866 2247 V 867 2248 V 867 2248 V 868 2249 V 868 2249 V 869 2249 V 870 2250 V 870 2250 V 871 2250 V 872 2250 V 873 2251 V 873 2251 V 874 2251 V 875 2252 V 876 2252 V 876 2252 V 877 2253 V 878 2253 V 878 2253 V 879 2253 V 880 2253 V 880 2254 V 881 2254 V 882 2254 V 883 2255 V 884 2255 V 884 2255 V 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Fl(b)n(e)d(a)g(smal)r(l)g (strict)h(br)n(aide)n(d)f(monoidal)h(c)n(ate)n(gory)f(to-)42 2746 y(gether)f(with)g(a)g(monoidal)g(functor)g Fk(F)j Fm(:)c Fk(C)i(\000)-25 b(!)20 b Fm(V)l(ec)969 2753 y Ff(f)1011 2746 y Fl(to)g(the)g(c)n(ate)n(gory)g(of)g(\014nite)e (dimensional)p eop %%Page: 8 8 8 7 bop 116 -75 a Fm(8)1404 b Fh(Bo)q(do)15 b(P)o(areigis)116 75 y Fl(ve)n(ctor)h(sp)n(ac)n(es.)k(Then)c(ther)n(e)g(is)g(a)g(Hopf)h (algebr)n(a)e Fj(H)20 b Fl(and)c(a)h(factorization)781 376 y Fm(V)l(ec)852 383 y Ff(f)1065 376 y Fm(V)l(ec)p 888 369 164 2 v 1010 368 a Fd(-)p 888 369 12 2 v -194 w(-)p 1100 336 2 119 v 1101 336 a(?)1119 284 y Ff(!)815 201 y Fk(C)210 b(Y)t(D)1119 183 y Ff(H)1119 212 y(H)p 855 187 181 2 v 994 186 a Fd(-)937 172 y Fc(e)931 177 y Fe(F)p 827 336 2 119 v 828 336 a Fd(?)782 288 y Fe(F)116 492 y Fl(wher)n(e)257 479 y Fc(e)245 492 y Fk(F)20 b Fl(pr)n(eserves)15 b(the)i(br)n(aiding.)155 613 y Fm(So)h(an)o(y)f (study)g(of)g(braidings)i(on)e(\014nite)h(dimensional)i(v)o(ector)c (spaces)i(reduces)g(to)f(the)g(study)116 670 y(of)g(Y)l(etter-Drinfeld) j(mo)q(dules.)28 b(This)18 b(construction)g(explains)h(also)f(the)g (famous)f(construction)116 726 y(of)e(the)g Fl(Drinfeld)h(double)p Fm(:)116 850 y Fi(Theorem)h(3.3)23 b Fl(L)n(et)g Fj(H)k Fl(b)n(e)c(a)h(\014nite)f(dimensional)g(Hopf)h(algebr)n(a.)42 b(Then)23 b(the)h(c)n(ate)n(gory)g(of)116 907 y(Y)m(etter-Drinfeld)d (mo)n(dules)g Fk(Y)t(D)686 889 y Ff(H)686 918 y(H)741 907 y Fl(is)g(e)n(quivalent)f(as)h(a)g(monoidal)g(c)n(ate)n(gory)g (over)h Fm(V)l(ec)f Fl(to)h(the)116 963 y(c)n(ate)n(gory)17 b(of)f(right)h(mo)n(dules)f Fm(Mo)q(d)p Fl(-)q Fj(D)q Fm(\()p Fj(H)t Fm(\))f Fl(over)h(the)h(Drinfeld)f(double)h Fj(D)q Fm(\()p Fj(H)t Fm(\))12 b(=)h Fj(H)h Fk(\012)c Fj(H)1681 947 y Fe(\003)1717 963 y Fl(\(with)116 1020 y(appr)n(opriate)j(Hopf)f(algebr)n(a)g(structur)n(e\).)19 b(In)11 b(p)n(articular)i Fm(Mo)q(d)p Fl(-)p Fj(D)q Fm(\()p Fj(H)t Fm(\))d Fl(is)i(br)n(aide)n(d)f(and)h(thus)g Fj(D)q Fm(\()p Fj(H)t Fm(\))116 1076 y Fl(is)k(quasitriangular.)155 1197 y Fm(The)f(famous)f(construction)g(of)g(the)g(Drinfeld)i(double)g (for)d(\014nite)j(dimensional)g(Hopf)e(algebras)116 1254 y(pro)o(vides)e(a)f(w)o(ealth)g(of)g(quasitriangular)g(Hopf)g(algebras) h(and)f(th)o(us)g(of)g(solutions)g(of)g(the)g(quan)o(tum)116 1310 y(Y)l(ang-Baxter)k(equation.)116 1471 y Fn(4)67 b(Braidings)24 b(and)f(Double)f(Quan)n(tum)h(Groups)116 1578 y Fm(In)14 b(the)f(category)f(of)g(Y)l(etter-Drinfeld)i(mo)q (dules)g(\(and)f(o)o(v)o(er)f(the)h(quasitriangular)h(Drinfeld)g(dou-) 116 1634 y(ble\))j(w)o(e)e(see)h Fj(H)t Fm(-mo)q(dules)g(and)g Fj(H)t Fm(-como)q(dules)g(sim)o(ultaneously)l(.)23 b(W)l(e)15 b(no)o(w)g(study)h(the)g(question)116 1691 y(if)g(a)f(similar)h(setup)g (with)f(t)o(w)o(o)f(di\013eren)o(t)h(Hopf)h(algebras)f(is)g(p)q (ossible.)116 1815 y Fi(De\014nition)k(4.1)f(\(Brzezinski)g([1)o(,)f (2]\))23 b Fm(Let)16 b Fj(H)i Fm(b)q(e)e(an)g(algebra)f(and)h Fj(K)i Fm(b)q(e)e(a)f(coalgebra)g(and)116 1871 y(let)h Fj( )e Fm(:)e Fj(K)h Fk(\012)d Fj(H)17 b Fk(\000)-26 b(!)13 b Fj(H)g Fk(\012)e Fj(K)18 b Fm(b)q(e)e(a)e(linear)j(map)e(suc)o (h)g(that)g(the)g(follo)o(wing)h(hold)p 598 1990 150 2 v 602 1972 a Fj(K)11 b(H)h(H)p 623 2089 2 100 v 672 2001 2 13 v 672 2028 a Fa(\012)p 721 2001 V -1 w(\011)p 697 2039 V 698 2040 2 2 v 698 2040 V 698 2041 V 698 2042 V 698 2043 V 698 2044 V 698 2044 V 698 2045 V 698 2046 V 697 2047 V 697 2047 V 697 2048 V 697 2049 V 697 2049 V 697 2050 V 696 2051 V 696 2051 V 696 2052 V 696 2053 V 695 2053 V 695 2054 V 695 2055 V 694 2055 V 694 2056 V 694 2056 V 693 2057 V 693 2058 V 692 2058 V 692 2059 V 692 2059 V 691 2060 V 691 2060 V 690 2061 V 690 2061 V 689 2062 V 689 2062 V 688 2063 V 687 2063 V 687 2064 V 686 2064 V 686 2064 V 686 2064 V 685 2065 V 684 2065 V 684 2066 V 683 2066 V 683 2067 V 682 2067 V 682 2068 V 681 2068 V 681 2069 V 680 2069 V 680 2070 V 679 2070 V 679 2071 V 678 2071 V 678 2072 V 678 2072 V 677 2073 V 677 2074 V 677 2074 V 676 2075 V 676 2075 V 676 2076 V 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1310 2163 2 150 v 1260 2163 2 100 v 1240 2213 a Fj(H)g(K)p 1236 2164 100 2 v 585 2356 150 2 v 589 2339 a(K)f(H)p 609 2405 2 50 v 658 2405 V 634 2430 a Fa(e)p 609 2406 2 2 v 610 2407 V 610 2407 V 610 2408 V 610 2408 V 610 2409 V 610 2409 V 610 2410 V 610 2410 V 610 2411 V 610 2411 V 610 2412 V 610 2412 V 611 2413 V 611 2413 V 611 2414 V 611 2414 V 611 2415 V 612 2415 V 612 2416 V 612 2416 V 613 2417 V 613 2417 V 613 2418 V 613 2418 V 614 2419 V 614 2419 V 615 2419 V 615 2420 V 615 2420 V 616 2421 V 616 2421 V 617 2422 V 617 2422 V 617 2422 V 618 2423 V 618 2423 V 619 2423 V 619 2424 V 620 2424 V 621 2425 V 621 2425 V 622 2425 V 622 2426 V 623 2426 V 624 2426 V 624 2427 V 625 2427 V 625 2427 V 626 2428 V 627 2428 V 627 2428 V 628 2429 V 629 2429 V 630 2429 V 630 2430 V 631 2430 V 632 2430 V 633 2431 V 634 2431 V 634 2431 V 634 2431 V 635 2431 V 636 2432 V 637 2432 V 638 2432 V 638 2433 V 639 2433 V 640 2433 V 641 2433 V 641 2434 V 642 2434 V 643 2434 V 643 2435 V 644 2435 V 645 2435 V 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678 2486 V 678 2487 V 679 2487 V 679 2488 V 679 2488 V 680 2489 V 680 2489 V 680 2490 V 681 2491 V 681 2491 V 681 2492 V 682 2493 V 682 2493 V 682 2494 V 682 2495 V 683 2495 V 683 2496 V 683 2497 V 683 2497 V 683 2498 V 684 2499 V 684 2499 V 684 2500 V 684 2501 V 684 2502 V 684 2503 V 684 2503 V 684 2504 V 684 2505 V 684 2506 V 658 2519 a(\013)p 658 2555 2 13 v -1 w(\010)p 707 2555 V 683 2517 V 589 2605 a Fj(H)g(K)g(K)p 585 2556 150 2 v 747 2467 a Fm(=)p 795 2356 V 824 2339 a Fj(K)35 b(H)818 2370 y Fa(\013)p 818 2405 2 13 v(\010)p 868 2405 V 844 2368 V 918 2405 2 50 v 819 2455 V 894 2430 a(e)p 869 2406 2 2 v 869 2407 V 869 2407 V 869 2408 V 869 2408 V 870 2409 V 870 2409 V 870 2410 V 870 2410 V 870 2411 V 870 2411 V 870 2412 V 870 2412 V 871 2413 V 871 2413 V 871 2414 V 871 2414 V 871 2415 V 872 2415 V 872 2416 V 872 2416 V 872 2417 V 873 2417 V 873 2418 V 873 2418 V 874 2419 V 874 2419 V 874 2419 V 875 2420 V 875 2420 V 876 2421 V 876 2421 V 876 2422 V 877 2422 V 877 2422 V 878 2423 V 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870 2452 V 870 2451 V 870 2451 V 870 2450 V 870 2449 V 870 2448 V 871 2448 V 871 2447 V 871 2447 V 871 2446 V 872 2445 V 872 2445 V 872 2444 V 873 2444 V 873 2443 V 874 2442 V 874 2442 V 874 2441 V 875 2441 V 875 2441 V 876 2440 V 876 2440 V 877 2439 V 877 2439 V 878 2438 V 879 2438 V 879 2438 V 880 2437 V 881 2437 V 881 2437 V 882 2436 V 883 2436 V 884 2436 V 884 2436 V 885 2435 V 886 2435 V 919 2406 V 919 2407 V 919 2408 V 919 2409 V 919 2409 V 919 2410 V 919 2411 V 919 2412 V 919 2412 V 918 2413 V 918 2414 V 918 2414 V 918 2415 V 917 2416 V 917 2416 V 917 2417 V 917 2417 V 916 2418 V 916 2419 V 915 2419 V 915 2420 V 915 2420 V 914 2421 V 914 2421 V 913 2422 V 913 2422 V 912 2422 V 912 2423 V 911 2423 V 910 2424 V 910 2424 V 909 2424 V 909 2425 V 908 2425 V 907 2425 V 906 2426 V 906 2426 V 905 2426 V 904 2426 V 903 2427 V 903 2427 V 844 2480 a(e)p 820 2456 V 820 2457 V 820 2457 V 820 2458 V 820 2458 V 820 2459 V 820 2459 V 820 2460 V 820 2460 V 820 2461 V 820 2461 V 820 2462 V 821 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Fm(Then)20 b(\()p Fj(H)q(;)8 b(K)q(;)g( )q Fm(\))16 b(is)k(called)h(an)e Fl(entwining)f(structur)n(e)p Fm(.)32 b(The)20 b(map)f Fj( )h Fm(is)g(called)g(an)g Fl(entwining)116 2737 y(map)p Fm(.)p eop %%Page: 9 9 9 8 bop 42 -75 a Fh(Quan)o(tum)15 b(Groups)g({)f(The)i(F)l(unctorial)g (Side)885 b Fm(9)42 75 y Fi(De\014nition)19 b(4.2)j Fm(Let)e Fk(M)516 58 y Ff(K)516 88 y(H)550 75 y Fm(\()p Fj( )r Fm(\))e(b)q(e)j(the)f(category)e(of)i(ob)s(jects)f(that)g(are)g(sim)o (ultaneously)i Fj(K)s Fm(-)42 131 y(como)q(dules)e(and)g Fj(H)t Fm(-mo)q(dules)g(\()p Fj(P)q(;)8 b(\016)685 138 y Ff(P)732 131 y Fm(:)17 b Fj(P)25 b Fk(\000)-26 b(!)18 b Fj(P)h Fk(\012)13 b Fj(K)q(;)8 b(\026)1072 138 y Ff(P)1118 131 y Fm(:)18 b Fj(P)g Fk(\012)13 b Fj(H)21 b Fk(\000)-25 b(!)18 b Fj(P)6 b Fm(\))19 b(suc)o(h)f(that)g(with)42 188 y(resp)q(ect)d(to)g(an)g(en)o(t)o(wining)h(structure)f(\()p Fj(H)q(;)8 b(K)q(;)g( )r Fm(\))545 270 y Fj(\016)565 277 y Ff(P)594 270 y Fj(\026)621 277 y Ff(P)663 270 y Fm(=)13 b(\()p Fj(\026)756 277 y Ff(P)796 270 y Fk(\012)d Fj(K)s Fm(\)\()p Fj(P)16 b Fk(\012)11 b Fj( )r Fm(\)\()p Fj(\016)1098 277 y Ff(P)1136 270 y Fk(\012)f Fj(H)t Fm(\))42 352 y(or)p 738 407 100 2 v 745 389 a Fj(P)18 b(H)p 812 422 2 17 v 763 423 50 2 v 771 436 a Fd(\020)763 439 y(\020)p 762 456 2 50 v 762 505 V 812 555 2 17 v 763 539 50 2 v 771 539 a(P)763 536 y(P)p 762 555 2 50 v 745 605 a Fj(P)f(K)p 738 556 100 2 v 850 492 a Fm(=)p 898 407 150 2 v 905 389 a Fj(P)68 b(H)p 972 456 2 17 v 923 440 50 2 v 931 439 a Fd(P)923 436 y(P)p 922 456 2 50 v 1022 456 V 922 505 V 998 481 a Fa(e)p 973 456 2 2 v 973 457 V 973 458 V 973 458 V 973 459 V 973 459 V 973 460 V 973 460 V 973 461 V 973 461 V 973 462 V 973 462 V 974 463 V 974 463 V 974 464 V 974 464 V 974 465 V 975 465 V 975 466 V 975 466 V 975 467 V 976 467 V 976 468 V 976 468 V 977 468 V 977 469 V 977 469 V 978 470 V 978 470 V 978 471 V 979 471 V 979 471 V 980 472 V 980 472 V 981 473 V 981 473 V 982 473 V 982 474 V 983 474 V 983 475 V 984 475 V 984 475 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Fm(-mo)q(dule)42 714 y(and)e Fj(K)s Fm(-como)q(dule)h(morphisms.)81 800 y(W)l(e)e(consider)i(the)e (follo)o(wing)h(biuniv)o(ersal)i(problem.)j(Giv)o(en)15 b(a)f(homomorphism)g Fj(f)k Fm(:)12 b Fj(K)k Fk(\000)-26 b(!)13 b Fj(H)42 857 y Fm(in)18 b(V)l(ec)q(.)28 b(Then)19 b(this)f(homomorphism)g(induces)i(a)e(natural)g(transformation)e Fj(\031)1452 864 y Ff(f)1492 857 y Fm(:)h Fj(!)i Fk(\000)-26 b(!)18 b Fj(!)i Fm(for)42 913 y(the)15 b(underlying)i(functor)e Fj(!)f Fm(:)f Fk(M)627 897 y Ff(K)627 926 y(H)660 913 y Fm(\()p Fj( )r Fm(\))f Fk(\000)-26 b(!)13 b Fm(V)l(ec)j(b)o(y)f(the)g (comm)o(utativ)o(e)g(diagram)570 999 y Fj(!)r Fm(\()p Fj(P)6 b Fm(\))122 b Fj(!)r Fm(\()p Fj(P)6 b Fm(\))k Fk(\012)h Fj(K)p 684 989 97 2 v 739 988 a Fd(-)723 979 y Ff(\016)p 892 1138 2 119 v 892 1138 a Fd(?)911 1042 y Fg(1)p Fe(\012)p Ff(f)794 1181 y Fj(!)r Fm(\()p Fj(P)6 b Fm(\))j Fk(\012)i Fj(H)127 b(!)r Fm(\()p Fj(P)6 b Fm(\))p 1005 1171 97 2 v 1060 1170 a Fd(-)1042 1193 y Ff(\026)715 1033 y Fd(P)757 1047 y(P)798 1061 y(P)840 1075 y(P)881 1089 y(P)923 1103 y(P)964 1116 y(P)1006 1130 y(P)1028 1138 y(P)-42 b(q)42 1263 y Fm(Instead)21 b(of)f Fj(\031)291 1270 y Ff(f)314 1263 y Fm(\()p Fj(P)6 b Fm(\))22 b(:)g Fj(!)r Fm(\()p Fj(P)6 b Fm(\))22 b Fk(\000)-26 b(!)23 b Fj(!)r Fm(\()p Fj(P)6 b Fm(\))20 b(w)o(e)h(write)g(again)g Fj(\031)j Fm(:)e Fj(P)28 b Fk(\000)-25 b(!)22 b Fj(P)6 b Fm(.)38 b(This)21 b(leads)h(to)e(the)42 1319 y(\\biuniv)o(ersal")c (problem:)42 1405 y Fi(Theorem)g(4.3)i(\(Hobst-P)o(areigis)g([4]\))k Fl(F)m(or)d(every)g(natur)n(al)h(tr)n(ansformation)f Fj(\031)h Fm(:)e Fj(P)25 b Fk(\000)-25 b(!)19 b Fj(P)42 1462 y Fl(\(in)c Fm(V)l(ec)q Fl(\))g(ther)n(e)i(is)e(a)i(unique)j Fj(f)d Fm(:)c Fj(K)i Fk(\000)-24 b(!)13 b Fj(H)19 b Fl(such)e(that)p 760 1553 50 2 v 767 1536 a Fj(P)p 784 1602 2 50 v 784 1607 2 5 v 784 1652 V 762 1607 45 2 v 762 1648 2 42 v 774 1635 a Ff(\031)p 805 1648 V 762 1650 45 2 v 784 1702 2 50 v 767 1752 a Fj(P)p 760 1703 50 2 v 822 1639 a Fm(=)p 870 1553 V 877 1536 a Fj(P)p 944 1602 2 17 v 895 1587 50 2 v 903 1586 a Fd(P)895 1583 y(P)p 894 1602 2 50 v 894 1652 V 944 1607 2 5 v 944 1652 V 922 1607 45 2 v 922 1648 2 42 v 934 1636 a Ff(f)p 965 1648 V 922 1650 45 2 v 944 1669 2 17 v 895 1670 50 2 v 903 1683 a Fd(\020)895 1685 y(\020)p 894 1702 2 50 v 877 1752 a Fj(P)p 870 1703 50 2 v 1013 1639 a(:)81 1817 y Fm(If)c Fj(H)k Fm(is)d(a)f(bialgebra,)i (then)e(the)h(tensor)f(pro)q(duct)h(of)f(t)o(w)o(o)f Fj(H)t Fm(-mo)q(dules)i(is)g(again)f(an)h Fj(H)t Fm(-mo)q(dule)42 1874 y(b)o(y)h(the)g(diagonal)h(m)o(ultiplication.)23 b(Similarly)l(,)17 b(if)f Fj(K)i Fm(is)d(a)g(bialgebra,)h(then)g(the)f (tensor)g(pro)q(duct)42 1930 y(of)c(t)o(w)o(o)h Fj(K)s Fm(-como)q(dules)h(is)g(a)f Fj(K)s Fm(-como)q(dule)i(b)o(y)e(the)g(co)q (diagonal)i(com)o(ultiplication.)21 b(F)l(urthermore)42 1987 y Fj(I)t Fm(\(=)12 b Fi(C)p Fm(\))i(is)h(a)f(unit)h(ob)s(ject)f (for)g(the)g(tensor)h(pro)q(duct)f(if)h(endo)o(w)o(ed)g(with)g(the)f (trivial)i Fj(H)t Fm(-structure)42 2043 y(resp.)h(the)g(trivial)i Fj(K)s Fm(-structure.)26 b(W)l(e)17 b(w)o(an)o(t)g(to)f(study)i (conditions)h(under)f(whic)o(h)g Fk(M)1564 2027 y Ff(K)1564 2056 y(H)1598 2043 y Fm(\()p Fj( )r Fm(\))e(b)q(e-)42 2100 y(comes)f(a)h(monoidal)h(category)e(with)h(the)g(giv)o(en)h(m)o (ultiplication)h(and)e(com)o(ultiplication)i(on)e(the)42 2156 y(tensor)f(pro)q(duct)i(of)f(t)o(w)o(o)f(mo)q(dules.)25 b(The)17 b(underlying)h(functor)e(will)i(then)f(preserv)o(e)f(the)h (tensor)42 2213 y(pro)q(duct,)e(i.e.)20 b(it)15 b(will)i(b)q(e)f(a)f (monoidal)h(functor.)42 2299 y Fi(Theorem)g(4.4)23 b([4])16 b Fl(L)n(et)21 b Fj(H)g Fl(and)g Fj(K)f Fl(b)n(e)d(bialgebr)n(as.)22 b(The)17 b(c)n(ate)n(gory)k Fk(M)1336 2282 y Ff(K)1336 2312 y(H)1370 2299 y Fm(\()p Fj( )r Fm(\))16 b Fl(is)g(monoidal)i (i\013)42 2355 y(the)j(fol)r(lowing)g(additional)h(c)n(omp)n(atibility) f(c)n(onditions)f(for)i(the)f(entwining)f(map)25 b Fj( )e Fm(:)e Fj(K)c Fk(\012)d Fj(H)42 2412 y Fk(\000)-25 b(!)13 b Fj(H)g Fk(\012)e Fj(K)19 b Fl(hold:)p 688 2470 150 2 v 692 2453 a Fj(K)11 b(K)g(H)p 711 2482 2 13 v 711 2509 a Fa(\012)p 761 2482 V(\011)p 737 2519 V 812 2569 2 100 v 738 2520 2 2 v 738 2521 V 738 2522 V 738 2523 V 738 2523 V 738 2524 V 738 2525 V 738 2526 V 738 2526 V 738 2527 V 738 2528 V 739 2529 V 739 2529 V 739 2530 V 739 2531 V 739 2531 V 740 2532 V 740 2533 V 740 2533 V 740 2534 V 741 2535 V 741 2535 V 741 2536 V 742 2537 V 742 2537 V 743 2538 V 743 2538 V 743 2539 V 744 2539 V 744 2540 V 745 2540 V 745 2541 V 746 2541 V 746 2542 V 747 2542 V 747 2543 V 748 2543 V 748 2544 V 749 2544 V 749 2545 V 750 2545 V 750 2545 V 751 2546 V 751 2546 V 752 2546 V 752 2547 V 753 2547 V 754 2548 V 754 2548 V 755 2549 V 755 2549 V 756 2550 V 756 2550 V 756 2551 V 757 2551 V 757 2552 V 758 2552 V 758 2553 V 758 2554 V 759 2554 V 759 2555 V 759 2555 V 760 2556 V 760 2557 V 760 2557 V 761 2558 V 761 2559 V 761 2559 V 761 2560 V 761 2561 V 762 2561 V 762 2562 V 762 2563 V 762 2564 V 762 2564 V 762 2565 V 762 2566 V 762 2567 V 762 2568 V 763 2568 V 763 2569 V 763 2570 V 787 2594 a(e)p 763 2570 V 763 2571 V 763 2571 V 763 2572 V 763 2572 V 763 2573 V 763 2573 V 763 2574 V 763 2574 V 763 2575 V 763 2575 V 763 2576 V 764 2576 V 764 2577 V 764 2577 V 764 2578 V 764 2578 V 765 2579 V 765 2579 V 765 2580 V 765 2580 V 766 2581 V 766 2581 V 766 2582 V 767 2582 V 767 2582 V 767 2583 V 768 2583 V 768 2584 V 768 2584 V 769 2585 V 769 2585 V 770 2585 V 770 2586 V 771 2586 V 771 2587 V 772 2587 V 772 2587 V 773 2588 V 773 2588 V 774 2588 V 774 2589 V 775 2589 V 775 2590 V 776 2590 V 777 2590 V 777 2591 V 778 2591 V 778 2591 V 779 2592 V 780 2592 V 781 2592 V 781 2593 V 782 2593 V 783 2593 V 783 2593 V 784 2594 V 785 2594 V 786 2594 V 787 2595 V 787 2595 V 787 2595 V 788 2595 V 789 2595 V 790 2596 V 791 2596 V 791 2596 V 792 2597 V 793 2597 V 794 2597 V 794 2598 V 795 2598 V 796 2598 V 796 2599 V 797 2599 V 798 2599 V 798 2600 V 799 2600 V 800 2600 V 800 2601 V 801 2601 V 801 2601 V 802 2602 V 802 2602 V 803 2602 V 803 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1018 2532 V 1019 2532 V 1019 2531 V 1019 2531 V 1020 2530 V 1020 2530 V 1020 2529 V 1020 2529 V 1021 2528 V 1021 2528 V 1021 2527 V 1021 2527 V 1021 2527 V 1022 2526 V 1022 2525 V 1022 2525 V 1022 2524 V 1022 2524 V 1022 2523 V 1022 2523 V 1022 2522 V 1022 2522 V 1022 2521 V 1022 2521 V 1022 2520 V 1071 2569 2 50 v 948 2594 a(e)p 923 2570 2 2 v 923 2571 V 923 2571 V 923 2572 V 923 2572 V 923 2573 V 923 2573 V 923 2574 V 923 2574 V 923 2575 V 923 2575 V 924 2576 V 924 2576 V 924 2577 V 924 2577 V 924 2578 V 925 2578 V 925 2579 V 925 2579 V 925 2580 V 926 2580 V 926 2581 V 926 2581 V 926 2582 V 927 2582 V 927 2582 V 927 2583 V 928 2583 V 928 2584 V 929 2584 V 929 2585 V 929 2585 V 930 2585 V 930 2586 V 931 2586 V 931 2587 V 932 2587 V 932 2587 V 933 2588 V 933 2588 V 934 2588 V 934 2589 V 935 2589 V 936 2590 V 936 2590 V 937 2590 V 937 2591 V 938 2591 V 939 2591 V 939 2592 V 940 2592 V 941 2592 V 941 2593 V 942 2593 V 943 2593 V 944 2593 V 944 2594 V 945 2594 V 946 2594 V 947 2595 V 948 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eop %%Page: 10 10 10 9 bop 116 -75 a Fm(10)1381 b Fh(Bo)q(do)15 b(P)o(areigis)116 75 y Fl(and)p 862 130 100 2 v 916 112 a Fj(H)p 886 178 2 25 v 887 154 a Fa(r)p 936 178 2 50 v 912 203 a(e)p 887 179 2 2 v 887 180 V 887 180 V 887 181 V 887 182 V 887 182 V 887 183 V 887 183 V 888 184 V 888 184 V 888 185 V 888 185 V 888 186 V 888 186 V 888 187 V 889 187 V 889 188 V 889 188 V 889 189 V 890 189 V 890 189 V 890 190 V 890 190 V 891 191 V 891 191 V 891 192 V 892 192 V 892 193 V 893 193 V 893 193 V 893 194 V 894 194 V 894 195 V 895 195 V 895 195 V 896 196 V 896 196 V 897 197 V 897 197 V 898 197 V 898 198 V 899 198 V 899 199 V 900 199 V 900 199 V 901 200 V 902 200 V 902 200 V 903 201 V 904 201 V 904 201 V 905 202 V 906 202 V 907 202 V 907 202 V 908 203 V 909 203 V 910 203 V 910 204 V 911 204 V 912 204 V 912 204 V 913 205 V 914 205 V 914 205 V 915 205 V 916 206 V 917 206 V 917 206 V 918 207 V 919 207 V 920 207 V 920 208 V 921 208 V 922 208 V 922 209 V 923 209 V 924 209 V 924 210 V 925 210 V 925 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191 V 934 192 V 933 192 V 933 193 V 932 193 V 932 194 V 931 194 V 931 195 V 930 195 V 930 196 V 929 196 V 929 196 V 928 197 V 928 197 V 927 198 V 926 198 V 926 198 V 925 199 V 924 199 V 923 199 V 923 199 V 922 200 V 921 200 V 920 200 V 886 253 2 25 v 887 253 a(r)p 936 278 2 50 v 916 328 a Fj(K)p 862 279 100 2 v 974 215 a Fm(=)p 1022 130 50 2 v 1027 112 a Fj(H)p 1046 154 2 25 v 1047 154 a Fa(r)p 1046 278 V 1047 253 a(r)1026 328 y Fj(K)p 1022 279 50 2 v 116 382 a Fl(If)h(these)g(c)n(onditions)g(ar)n(e)g (satis\014e)n(d)g(we)g(c)n(al)r(l)21 b Fm(\()p Fj(H)q(;)8 b(K)q(;)g( )q Fm(\))14 b Fl(a)i Fm(monoidal)h(en)o(t)o(wining)f (structure)g Fl(and)116 438 y Fj( )j Fl(a)f Fm(monoidal)f(en)o(t)o (wining)g(map)p Fl(.)25 b(The)17 b(tensor)g(pr)n(o)n(duct)22 b Fj(P)c Fk(\012)11 b Fj(Q)18 b Fl(of)f(mo)n(dules)k Fj(P)q(;)8 b(Q)15 b Fk(2)g(M)1718 422 y Ff(K)1718 451 y(H)1752 438 y Fm(\()p Fj( )r Fm(\))116 495 y Fl(b)n(e)n(c)n(omes)j(an) g(obje)n(ct)h(in)j Fk(M)607 478 y Ff(K)607 508 y(H)640 495 y Fm(\()p Fj( )r Fm(\))c Fl(with)h(the)g(diagonal)g(mo)n(dule)g (and)g(the)g(c)n(o)n(diagonal)f(c)n(omo)n(dule)116 551 y(structur)n(e.)155 635 y Fm(An)e(extension)g(of)f(Theorem)g(4.3)f(and) h(Prop)q(osition)h(2.3)e(is)116 719 y Fi(Theorem)j(4.5)g(\(Hobst-P)o (areigis)i([4)o(]\))k Fl(F)m(or)g(every)g(natur)n(al)g(tr)n (ansformation)g Fj(\034)30 b Fm(:)25 b Fj(P)d Fk(\012)15 b Fj(Q)116 776 y Fk(\000)-24 b(!)13 b Fj(Q)d Fk(\012)g Fj(P)23 b Fl(ther)n(e)16 b(is)g(a)g(unique)k Fj(r)14 b Fm(:)e Fj(K)h Fk(\012)d Fj(K)16 b Fk(\000)-25 b(!)13 b Fj(H)h Fk(\012)c Fj(H)20 b Fl(such)c(that)p 773 912 100 2 v 780 886 a Fj(P)21 b(Q)p 797 961 2 50 v 847 961 V 813 998 a Ff(\031)p 797 965 2 5 v 797 1011 V 777 1008 50 2 v 777 966 V 776 1007 2 42 v 847 965 2 5 v 847 1011 V 819 1008 50 2 v 819 966 V 868 1007 2 42 v 797 1061 2 50 v 847 1061 V 780 1102 a Fj(Q)14 b(P)p 773 1062 100 2 v 885 998 a Fm(=)p 933 862 200 2 v 940 836 a Fj(P)71 b(Q)p 1007 911 2 17 v 958 896 50 2 v 966 895 a Fd(P)958 892 y(P)p 957 911 2 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b Fl(The)f(natur)n(al)h(tr)n(ansformation)f Fj(\034)j Fm(:)15 b Fj(P)j Fk(\012)11 b Fj(Q)16 b Fk(\000)-25 b(!)16 b Fj(Q)11 b Fk(\012)g Fj(P)24 b Fl(is)18 b(a)g(br)n(aiding)f (for)116 1428 y Fk(M)171 1412 y Ff(K)171 1441 y(H)205 1428 y Fm(\()p Fj( )r Fm(\))e Fl(if)h(and)g(only)g(if)g(the)h(fol)r (lowing)e(c)n(onditions)h(ar)n(e)g(satis\014e)n(d:)170 1503 y(1.)23 b Fj(\034)e Fl(is)16 b(a)g(morphism)h(of)g Fj(H)t Fl(-mo)n(dules)f(or)g(e)n(quivalently)p 780 1590 V 784 1573 a Fj(K)11 b(K)36 b(H)p 804 1689 2 100 v 854 1639 2 50 v 903 1603 a Fa(\013)p 903 1639 2 13 v(\010)p 953 1639 V 929 1602 V 855 1640 2 2 v 855 1641 V 855 1641 V 855 1642 V 855 1642 V 855 1643 V 855 1643 V 855 1644 V 855 1644 V 855 1645 V 855 1645 V 856 1646 V 856 1646 V 856 1647 V 856 1647 V 856 1648 V 857 1648 V 857 1649 V 857 1649 V 857 1650 V 858 1650 V 858 1651 V 858 1651 V 858 1651 V 859 1652 V 859 1652 V 859 1653 V 860 1653 V 860 1654 V 861 1654 V 861 1654 V 861 1655 V 862 1655 V 862 1656 V 863 1656 V 863 1656 V 864 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1903 V 877 1904 V 876 1904 V 876 1905 V 876 1905 V 875 1906 V 875 1907 V 874 1907 V 874 1908 V 874 1908 V 873 1909 V 873 1909 V 872 1910 V 872 1910 V 871 1911 V 871 1911 V 870 1912 V 870 1912 V 869 1913 V 868 1913 V 868 1914 V 867 1914 V 867 1914 V 867 1914 V 866 1915 V 865 1915 V 865 1916 V 864 1916 V 864 1917 V 863 1917 V 863 1918 V 862 1918 V 862 1919 V 861 1919 V 861 1920 V 860 1920 V 860 1921 V 860 1921 V 859 1922 V 859 1922 V 859 1923 V 858 1924 V 858 1924 V 858 1925 V 857 1926 V 857 1926 V 857 1927 V 856 1928 V 856 1928 V 856 1929 V 856 1930 V 856 1930 V 856 1931 V 855 1932 V 855 1933 V 855 1933 V 855 1934 V 855 1935 V 855 1936 V 855 1936 V 855 1937 V 855 1938 V 855 1939 V 805 1939 V 805 1939 V 805 1940 V 805 1940 V 805 1941 V 805 1942 V 805 1942 V 805 1943 V 805 1943 V 805 1944 V 806 1944 V 806 1945 V 806 1945 V 806 1946 V 806 1946 V 806 1947 V 807 1947 V 807 1948 V 807 1948 V 807 1949 V 808 1949 V 808 1949 V 808 1950 V 809 1950 V 809 1951 V 809 1951 V 810 1952 V 810 1952 V 810 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1955 V 848 1954 V 848 1954 V 849 1953 V 849 1953 V 849 1953 V 850 1952 V 850 1952 V 850 1951 V 851 1951 V 851 1950 V 851 1950 V 852 1949 V 852 1949 V 852 1949 V 853 1948 V 853 1948 V 853 1947 V 853 1947 V 853 1946 V 854 1946 V 854 1945 V 854 1945 V 854 1944 V 854 1944 V 854 1943 V 854 1943 V 854 1942 V 855 1942 V 855 1941 V 855 1940 V 855 1940 V 855 1939 V 855 1939 V 954 1939 V 954 1939 V 954 1940 V 954 1940 V 954 1941 V 954 1942 V 954 1942 V 954 1943 V 954 1943 V 954 1944 V 954 1944 V 954 1945 V 953 1945 V 953 1946 V 953 1946 V 953 1947 V 953 1947 V 952 1948 V 952 1948 V 952 1949 V 952 1949 V 951 1949 V 951 1950 V 951 1950 V 950 1951 V 950 1951 V 950 1952 V 949 1952 V 949 1953 V 949 1953 V 948 1953 V 948 1954 V 947 1954 V 947 1955 V 946 1955 V 946 1955 V 945 1956 V 945 1956 V 944 1957 V 944 1957 V 943 1957 V 943 1958 V 942 1958 V 942 1958 V 941 1959 V 940 1959 V 940 1959 V 939 1960 V 938 1960 V 938 1960 V 937 1961 V 936 1961 V 936 1961 V 935 1962 V 934 1962 V 933 1962 V 933 1963 V 932 1963 V 931 1963 V 930 1963 V 929 1964 V 929 1964 V 929 1964 V 928 1964 V 927 1965 V 926 1965 V 925 1965 V 925 1965 V 924 1966 V 923 1966 V 923 1966 V 922 1967 V 921 1967 V 920 1967 V 920 1968 V 919 1968 V 919 1968 V 918 1969 V 917 1969 V 917 1969 V 916 1970 V 916 1970 V 915 1971 V 915 1971 V 914 1971 V 914 1972 V 913 1972 V 913 1972 V 912 1973 V 912 1973 V 911 1974 V 911 1974 V 910 1975 V 910 1975 V 910 1975 V 909 1976 V 909 1976 V 909 1977 V 908 1977 V 908 1978 V 908 1978 V 907 1978 V 907 1979 V 907 1979 V 907 1980 V 906 1980 V 906 1981 V 906 1981 V 906 1982 V 906 1982 V 905 1983 V 905 1983 V 905 1984 V 905 1984 V 905 1985 V 905 1985 V 905 1986 V 905 1986 V 905 1987 V 905 1988 V 905 1988 V 905 1989 V 804 2038 2 50 v 853 2000 2 13 v 853 2027 a(\012)p 903 2000 V(\011)p 879 2038 V 784 2087 a Fj(H)h(H)p 780 2038 200 2 v 992 1825 a Fm(=)p 1040 1715 V 1044 1697 a Fj(K)11 b(K)36 b(H)p 1064 1764 2 50 v 1114 1764 V 1189 1715 2 2 v 1189 1715 V 1189 1716 V 1189 1717 V 1189 1718 V 1189 1719 V 1189 1719 V 1189 1720 V 1189 1721 V 1189 1722 V 1189 1722 V 1189 1723 V 1189 1724 V 1189 1725 V 1189 1725 V 1189 1726 V 1189 1727 V 1189 1727 V 1189 1728 V 1189 1729 V 1189 1729 V 1189 1730 V 1189 1730 V 1189 1731 V 1189 1732 V 1189 1732 V 1189 1733 V 1189 1733 V 1189 1734 V 1189 1734 V 1189 1735 V 1189 1735 V 1189 1736 V 1189 1736 V 1189 1737 V 1189 1737 V 1189 1738 V 1189 1738 V 1189 1739 V 1189 1739 V 1189 1740 V 1189 1740 V 1189 1740 V 1189 1740 V 1189 1741 V 1189 1741 V 1189 1742 V 1189 1742 V 1189 1743 V 1189 1743 V 1189 1744 V 1189 1744 V 1189 1745 V 1189 1745 V 1189 1746 V 1189 1746 V 1189 1747 V 1189 1748 V 1189 1748 V 1189 1749 V 1189 1749 V 1189 1750 V 1189 1751 V 1189 1751 V 1189 1752 V 1189 1753 V 1189 1753 V 1189 1754 V 1189 1755 V 1189 1755 V 1189 1756 V 1189 1757 V 1189 1757 V 1189 1758 V 1189 1759 V 1189 1760 V 1189 1760 V 1189 1761 V 1189 1762 V 1189 1763 V 1189 1764 V 1189 1764 V 1082 1800 a Ff(r)p 1064 1768 2 5 v 1064 1813 V 1044 1810 50 2 v 1044 1769 V 1043 1809 2 42 v 1114 1768 2 5 v 1114 1813 V 1086 1810 50 2 v 1086 1769 V 1135 1809 2 42 v 1163 1778 a Fa(\013)p 1163 1813 2 13 v(\010)p 1213 1813 V 1188 1776 V 1064 1863 2 50 v 1115 1814 2 2 v 1115 1815 V 1115 1815 V 1115 1816 V 1115 1816 V 1115 1817 V 1115 1818 V 1115 1818 V 1115 1819 V 1115 1819 V 1115 1820 V 1115 1820 V 1116 1821 V 1116 1821 V 1116 1822 V 1116 1822 V 1116 1823 V 1117 1823 V 1117 1824 V 1117 1824 V 1117 1824 V 1118 1825 V 1118 1825 V 1118 1826 V 1119 1826 V 1119 1827 V 1119 1827 V 1120 1828 V 1120 1828 V 1120 1828 V 1121 1829 V 1121 1829 V 1122 1830 V 1122 1830 V 1123 1830 V 1123 1831 V 1124 1831 V 1124 1832 V 1125 1832 V 1125 1832 V 1126 1833 V 1126 1833 V 1127 1833 V 1127 1834 V 1128 1834 V 1129 1835 V 1129 1835 V 1130 1835 V 1131 1836 V 1131 1836 V 1132 1836 V 1133 1837 V 1133 1837 V 1134 1837 V 1135 1837 V 1136 1838 V 1136 1838 V 1137 1838 V 1138 1839 V 1139 1839 V 1140 1839 V 1140 1839 V 1140 1839 V 1141 1840 V 1142 1840 V 1143 1840 V 1143 1841 V 1144 1841 V 1145 1841 V 1146 1842 V 1146 1842 V 1147 1842 V 1148 1843 V 1148 1843 V 1149 1843 V 1150 1844 V 1150 1844 V 1151 1844 V 1152 1845 V 1152 1845 V 1153 1845 V 1153 1846 V 1154 1846 V 1154 1846 V 1155 1847 V 1155 1847 V 1156 1848 V 1156 1848 V 1157 1848 V 1157 1849 V 1158 1849 V 1158 1850 V 1159 1850 V 1159 1850 V 1159 1851 V 1160 1851 V 1160 1852 V 1160 1852 V 1161 1853 V 1161 1853 V 1161 1854 V 1162 1854 V 1162 1854 V 1162 1855 V 1162 1855 V 1163 1856 V 1163 1856 V 1163 1857 V 1163 1857 V 1163 1858 V 1164 1858 V 1164 1859 V 1164 1859 V 1164 1860 V 1164 1860 V 1164 1861 V 1164 1861 V 1164 1862 V 1164 1862 V 1164 1863 V 1164 1864 V 1164 1864 V 1115 1864 V 1115 1864 V 1115 1863 V 1115 1862 V 1115 1862 V 1115 1861 V 1115 1861 V 1115 1860 V 1115 1860 V 1115 1859 V 1115 1859 V 1115 1858 V 1116 1858 V 1116 1857 V 1116 1857 V 1116 1856 V 1116 1856 V 1117 1855 V 1117 1855 V 1117 1854 V 1117 1854 V 1118 1854 V 1118 1853 V 1118 1853 V 1119 1852 V 1119 1852 V 1119 1851 V 1120 1851 V 1120 1850 V 1120 1850 V 1121 1850 V 1121 1849 V 1122 1849 V 1122 1848 V 1123 1848 V 1123 1848 V 1124 1847 V 1124 1847 V 1125 1846 V 1125 1846 V 1126 1846 V 1126 1845 V 1127 1845 V 1127 1845 V 1128 1844 V 1129 1844 V 1129 1844 V 1130 1843 V 1131 1843 V 1131 1843 V 1132 1842 V 1133 1842 V 1133 1842 V 1134 1841 V 1135 1841 V 1136 1841 V 1136 1840 V 1137 1840 V 1138 1840 V 1139 1839 V 1140 1839 V 1140 1839 V 1140 1839 V 1141 1839 V 1142 1838 V 1143 1838 V 1143 1838 V 1144 1837 V 1145 1837 V 1146 1837 V 1146 1837 V 1147 1836 V 1148 1836 V 1148 1836 V 1149 1835 V 1150 1835 V 1150 1835 V 1151 1834 V 1152 1834 V 1152 1833 V 1153 1833 V 1153 1833 V 1154 1832 V 1154 1832 V 1155 1832 V 1155 1831 V 1156 1831 V 1156 1830 V 1157 1830 V 1157 1830 V 1158 1829 V 1158 1829 V 1159 1828 V 1159 1828 V 1159 1828 V 1160 1827 V 1160 1827 V 1160 1826 V 1161 1826 V 1161 1825 V 1161 1825 V 1162 1824 V 1162 1824 V 1162 1824 V 1162 1823 V 1163 1823 V 1163 1822 V 1163 1822 V 1163 1821 V 1163 1821 V 1164 1820 V 1164 1820 V 1164 1819 V 1164 1819 V 1164 1818 V 1164 1818 V 1164 1817 V 1164 1816 V 1164 1816 V 1164 1815 V 1164 1815 V 1164 1814 V 1213 1863 2 50 v 1063 1876 2 13 v 1063 1902 a(\012)p 1113 1876 V(\011)p 1089 1913 V 1163 1876 V(\012)p 1213 1876 V(\011)p 1188 1913 V 1069 1963 a Fj(H)62 b(H)p 1040 1914 200 2 v 1255 1825 a(:)170 2161 y Fl(2.)23 b Fj(\034)e Fl(is)16 b(a)g(morphism)h(of)g Fj(K)s Fl(-c)n(omo)n(dules)f(or)h(e)n(quivalently)p 780 2248 V 784 2231 a Fj(K)36 b(K)p 804 2297 2 50 v 853 2262 a Fa(\013)p 853 2297 2 13 v(\010)p 903 2297 V 879 2260 V 805 2298 2 2 v 805 2299 V 805 2299 V 805 2300 V 805 2300 V 805 2301 V 805 2301 V 805 2302 V 805 2302 V 805 2303 V 806 2303 V 806 2304 V 806 2304 V 806 2305 V 806 2305 V 806 2306 V 807 2306 V 807 2307 V 807 2307 V 807 2308 V 808 2308 V 808 2309 V 808 2309 V 809 2310 V 809 2310 V 809 2311 V 810 2311 V 810 2311 V 810 2312 V 811 2312 V 811 2313 V 812 2313 V 812 2313 V 812 2314 V 813 2314 V 813 2315 V 814 2315 V 814 2315 V 815 2316 V 815 2316 V 816 2317 V 817 2317 V 817 2317 V 818 2318 V 818 2318 V 819 2318 V 820 2319 V 820 2319 V 821 2319 V 822 2320 V 822 2320 V 823 2320 V 824 2321 V 824 2321 V 825 2321 V 826 2322 V 827 2322 V 827 2322 V 828 2322 V 829 2323 V 830 2323 V 830 2323 V 831 2323 V 831 2324 V 832 2324 V 833 2324 V 834 2324 V 835 2325 V 835 2325 V 836 2325 V 837 2326 V 837 2326 V 838 2326 V 839 2327 V 839 2327 V 840 2327 V 841 2328 V 841 2328 V 842 2328 V 843 2329 V 843 2329 V 844 2329 V 844 2330 V 845 2330 V 845 2331 V 846 2331 V 846 2331 V 847 2332 V 847 2332 V 848 2333 V 848 2333 V 849 2333 V 849 2334 V 849 2334 V 850 2335 V 850 2335 V 850 2336 V 851 2336 V 851 2336 V 851 2337 V 852 2337 V 852 2338 V 852 2338 V 853 2339 V 853 2339 V 853 2340 V 853 2340 V 853 2341 V 854 2341 V 854 2342 V 854 2342 V 854 2343 V 854 2343 V 854 2344 V 854 2344 V 854 2345 V 855 2345 V 855 2346 V 855 2346 V 855 2347 V 855 2347 V 855 2348 V 805 2348 V 805 2347 V 805 2347 V 805 2346 V 805 2346 V 805 2345 V 805 2345 V 805 2344 V 805 2344 V 805 2343 V 806 2343 V 806 2342 V 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938 2326 V 938 2327 V 939 2327 V 940 2327 V 940 2328 V 941 2328 V 942 2328 V 942 2329 V 943 2329 V 943 2329 V 944 2330 V 944 2330 V 945 2331 V 945 2331 V 946 2331 V 946 2332 V 947 2332 V 947 2333 V 948 2333 V 948 2333 V 949 2334 V 949 2334 V 949 2335 V 950 2335 V 950 2336 V 950 2336 V 951 2336 V 951 2337 V 951 2337 V 952 2338 V 952 2338 V 952 2339 V 952 2339 V 953 2340 V 953 2340 V 953 2341 V 953 2341 V 953 2342 V 954 2342 V 954 2343 V 954 2343 V 954 2344 V 954 2344 V 954 2345 V 954 2345 V 954 2346 V 954 2346 V 954 2347 V 954 2347 V 954 2348 V 804 2546 2 200 v 855 2348 2 2 v 855 2349 V 855 2350 V 855 2350 V 855 2351 V 855 2352 V 855 2353 V 855 2353 V 855 2354 V 855 2355 V 856 2356 V 856 2356 V 856 2357 V 856 2358 V 856 2359 V 856 2359 V 857 2360 V 857 2361 V 857 2361 V 858 2362 V 858 2362 V 858 2363 V 859 2364 V 859 2364 V 859 2365 V 860 2365 V 860 2366 V 860 2367 V 861 2367 V 861 2368 V 862 2368 V 862 2369 V 863 2369 V 863 2370 V 864 2370 V 864 2371 V 865 2371 V 865 2372 V 866 2372 V 867 2372 V 867 2373 V 867 2373 V 868 2373 V 868 2374 V 869 2374 V 870 2375 V 870 2375 V 871 2376 V 871 2376 V 872 2376 V 872 2377 V 873 2377 V 873 2378 V 874 2379 V 874 2379 V 874 2380 V 875 2380 V 875 2381 V 876 2381 V 876 2382 V 876 2383 V 877 2383 V 877 2384 V 877 2384 V 877 2385 V 878 2386 V 878 2386 V 878 2387 V 878 2388 V 879 2389 V 879 2389 V 879 2390 V 879 2391 V 879 2391 V 879 2392 V 879 2393 V 879 2394 V 880 2394 V 880 2395 V 880 2396 V 880 2397 V 880 2398 V 954 2447 2 100 v 853 2411 a(\013)p 853 2447 2 13 v(\010)p 903 2447 V 879 2409 V 854 2497 2 50 v 922 2483 a Ff(r)p 904 2451 2 5 v 904 2497 V 884 2493 50 2 v 884 2452 V 883 2492 2 42 v 954 2451 2 5 v 954 2497 V 925 2493 50 2 v 925 2452 V 974 2492 2 42 v 855 2497 2 2 v 855 2498 V 855 2498 V 855 2499 V 855 2500 V 855 2500 V 855 2501 V 855 2501 V 855 2502 V 855 2502 V 855 2503 V 856 2503 V 856 2504 V 856 2504 V 856 2505 V 856 2505 V 857 2506 V 857 2506 V 857 2507 V 857 2507 V 858 2508 V 858 2508 V 858 2508 V 858 2509 V 859 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2515 V 896 2514 V 896 2514 V 897 2514 V 897 2513 V 897 2513 V 898 2512 V 898 2512 V 899 2511 V 899 2511 V 900 2511 V 900 2510 V 900 2510 V 901 2509 V 901 2509 V 901 2508 V 902 2508 V 902 2508 V 902 2507 V 902 2507 V 903 2506 V 903 2506 V 903 2505 V 903 2505 V 903 2504 V 904 2504 V 904 2503 V 904 2503 V 904 2502 V 904 2502 V 904 2501 V 904 2501 V 904 2500 V 904 2500 V 904 2499 V 905 2498 V 905 2498 V 905 2497 V 954 2546 2 50 v 830 2571 a Fa(e)p 805 2547 2 2 v 805 2548 V 805 2548 V 805 2549 V 805 2549 V 805 2550 V 805 2550 V 805 2551 V 805 2551 V 805 2552 V 806 2552 V 806 2553 V 806 2553 V 806 2554 V 806 2554 V 806 2555 V 807 2555 V 807 2556 V 807 2556 V 807 2557 V 808 2557 V 808 2558 V 808 2558 V 809 2559 V 809 2559 V 809 2560 V 810 2560 V 810 2560 V 810 2561 V 811 2561 V 811 2562 V 812 2562 V 812 2563 V 812 2563 V 813 2563 V 813 2564 V 814 2564 V 814 2564 V 815 2565 V 815 2565 V 816 2566 V 817 2566 V 817 2566 V 818 2567 V 818 2567 V 819 2567 V 820 2568 V 820 2568 V 821 2568 V 822 2569 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V 809 2584 V 809 2583 V 810 2583 V 810 2582 V 810 2582 V 811 2582 V 811 2581 V 812 2581 V 812 2580 V 813 2580 V 814 2579 V 814 2579 V 815 2579 V 816 2578 V 816 2578 V 817 2578 V 818 2577 V 818 2577 V 819 2577 V 820 2577 V 821 2576 V 822 2576 V 855 2547 V 855 2548 V 855 2549 V 855 2550 V 855 2550 V 854 2551 V 854 2552 V 854 2553 V 854 2553 V 854 2554 V 854 2555 V 853 2555 V 853 2556 V 853 2557 V 853 2557 V 852 2558 V 852 2558 V 852 2559 V 851 2560 V 851 2560 V 851 2561 V 850 2561 V 850 2562 V 849 2562 V 849 2563 V 848 2563 V 848 2563 V 847 2564 V 847 2564 V 846 2565 V 845 2565 V 845 2565 V 844 2566 V 843 2566 V 843 2566 V 842 2567 V 841 2567 V 841 2567 V 840 2567 V 839 2568 V 838 2568 V 74 w(e)p 905 2547 V 905 2548 V 905 2548 V 905 2549 V 905 2549 V 905 2550 V 905 2550 V 905 2551 V 905 2551 V 905 2552 V 905 2552 V 905 2553 V 906 2553 V 906 2554 V 906 2554 V 906 2555 V 906 2555 V 907 2556 V 907 2556 V 907 2557 V 907 2557 V 908 2558 V 908 2558 V 908 2559 V 909 2559 V 909 2560 V 909 2560 V 910 2560 V 910 2561 V 910 2561 V 911 2562 V 911 2562 V 912 2563 V 912 2563 V 913 2563 V 913 2564 V 914 2564 V 914 2564 V 915 2565 V 915 2565 V 916 2566 V 916 2566 V 917 2566 V 917 2567 V 918 2567 V 919 2567 V 919 2568 V 920 2568 V 920 2568 V 921 2569 V 922 2569 V 923 2569 V 923 2570 V 924 2570 V 925 2570 V 925 2571 V 926 2571 V 927 2571 V 928 2572 V 929 2572 V 929 2572 V 929 2572 V 930 2572 V 931 2573 V 932 2573 V 933 2573 V 933 2574 V 934 2574 V 935 2574 V 936 2574 V 936 2575 V 937 2575 V 938 2575 V 938 2576 V 939 2576 V 940 2576 V 940 2577 V 941 2577 V 942 2577 V 942 2578 V 943 2578 V 943 2579 V 944 2579 V 944 2579 V 945 2580 V 945 2580 V 946 2580 V 946 2581 V 947 2581 V 947 2582 V 948 2582 V 948 2582 V 949 2583 V 949 2583 V 949 2584 V 950 2584 V 950 2585 V 950 2585 V 951 2585 V 951 2586 V 951 2586 V 952 2587 V 952 2587 V 952 2588 V 952 2588 V 953 2589 V 953 2589 V 953 2590 V 953 2590 V 953 2591 V 954 2591 V 954 2592 V 954 2592 V 954 2593 V 954 2593 V 954 2594 V 954 2594 V 954 2595 V 954 2595 V 954 2596 V 954 2596 V 954 2597 V 905 2597 V 905 2596 V 905 2595 V 905 2595 V 905 2594 V 905 2593 V 905 2592 V 905 2592 V 905 2591 V 905 2590 V 906 2589 V 906 2589 V 906 2588 V 906 2588 V 907 2587 V 907 2586 V 907 2586 V 908 2585 V 908 2585 V 908 2584 V 909 2583 V 909 2583 V 910 2582 V 910 2582 V 911 2582 V 911 2581 V 912 2581 V 912 2580 V 913 2580 V 913 2579 V 914 2579 V 915 2579 V 915 2578 V 916 2578 V 917 2578 V 917 2577 V 918 2577 V 919 2577 V 920 2577 V 920 2576 V 921 2576 V 954 2547 V 954 2548 V 954 2549 V 954 2550 V 954 2550 V 954 2551 V 954 2552 V 954 2553 V 954 2553 V 954 2554 V 953 2555 V 953 2555 V 953 2556 V 953 2557 V 952 2557 V 952 2558 V 952 2558 V 951 2559 V 951 2560 V 951 2560 V 950 2561 V 950 2561 V 949 2562 V 949 2562 V 948 2563 V 948 2563 V 947 2563 V 947 2564 V 946 2564 V 946 2565 V 945 2565 V 944 2565 V 944 2566 V 943 2566 V 942 2566 V 942 2567 V 941 2567 V 940 2567 V 939 2567 V 939 2568 V 938 2568 V 804 2646 2 50 v 855 2597 2 2 v 855 2598 V 855 2598 V 855 2599 V 855 2599 V 855 2600 V 855 2600 V 855 2601 V 855 2601 V 855 2602 V 855 2602 V 856 2603 V 856 2603 V 856 2604 V 856 2604 V 856 2605 V 857 2605 V 857 2606 V 857 2606 V 857 2607 V 858 2607 V 858 2608 V 858 2608 V 858 2608 V 859 2609 V 859 2609 V 859 2610 V 860 2610 V 860 2611 V 861 2611 V 861 2612 V 861 2612 V 862 2612 V 862 2613 V 863 2613 V 863 2614 V 864 2614 V 864 2614 V 865 2615 V 865 2615 V 866 2615 V 866 2616 V 867 2616 V 868 2617 V 868 2617 V 869 2617 V 869 2618 V 870 2618 V 871 2618 V 871 2619 V 872 2619 V 873 2619 V 873 2620 V 874 2620 V 875 2620 V 876 2620 V 876 2621 V 877 2621 V 878 2621 V 879 2622 V 880 2622 V 880 2622 V 880 2622 V 881 2622 V 882 2623 V 883 2623 V 884 2623 V 884 2624 V 885 2624 V 886 2624 V 887 2625 V 887 2625 V 888 2625 V 889 2626 V 889 2626 V 890 2626 V 891 2627 V 891 2627 V 892 2627 V 892 2628 V 893 2628 V 893 2628 V 894 2629 V 895 2629 V 895 2629 V 896 2630 V 896 2630 V 897 2631 V 897 2631 V 897 2631 V 898 2632 V 898 2632 V 899 2633 V 899 2633 V 900 2634 V 900 2634 V 900 2634 V 901 2635 V 901 2635 V 901 2636 V 902 2636 V 902 2637 V 902 2637 V 902 2638 V 903 2638 V 903 2639 V 903 2639 V 903 2639 V 903 2640 V 904 2640 V 904 2641 V 904 2641 V 904 2642 V 904 2643 V 904 2643 V 904 2644 V 904 2644 V 904 2645 V 904 2645 V 905 2646 V 905 2646 V 905 2647 V 855 2647 V 855 2646 V 855 2646 V 855 2645 V 855 2645 V 855 2644 V 855 2644 V 855 2643 V 855 2643 V 855 2642 V 855 2641 V 856 2641 V 856 2640 V 856 2640 V 856 2640 V 856 2639 V 857 2639 V 857 2638 V 857 2638 V 857 2637 V 858 2637 V 858 2636 V 858 2636 V 858 2635 V 859 2635 V 859 2634 V 859 2634 V 860 2634 V 860 2633 V 861 2633 V 861 2632 V 861 2632 V 862 2631 V 862 2631 V 863 2631 V 863 2630 V 864 2630 V 864 2629 V 865 2629 V 865 2629 V 866 2628 V 866 2628 V 867 2628 V 868 2627 V 868 2627 V 869 2627 V 869 2626 V 870 2626 V 871 2626 V 871 2625 V 872 2625 V 873 2625 V 873 2624 V 874 2624 V 875 2624 V 876 2623 V 876 2623 V 877 2623 V 878 2622 V 879 2622 V 880 2622 V 880 2622 V 880 2622 V 881 2621 V 882 2621 V 883 2621 V 884 2620 V 884 2620 V 885 2620 V 886 2620 V 887 2619 V 887 2619 V 888 2619 V 889 2618 V 889 2618 V 890 2618 V 891 2617 V 891 2617 V 892 2617 V 892 2616 V 893 2616 V 893 2615 V 894 2615 V 895 2615 V 895 2614 V 896 2614 V 896 2614 V 897 2613 V 897 2613 V 897 2612 V 898 2612 V 898 2612 V 899 2611 V 899 2611 V 900 2610 V 900 2610 V 900 2609 V 901 2609 V 901 2608 V 901 2608 V 902 2608 V 902 2607 V 902 2607 V 902 2606 V 903 2606 V 903 2605 V 903 2605 V 903 2604 V 903 2604 V 904 2603 V 904 2603 V 904 2602 V 904 2602 V 904 2601 V 904 2601 V 904 2600 V 904 2600 V 904 2599 V 904 2599 V 905 2598 V 905 2598 V 905 2597 V 954 2646 2 50 v 804 2696 V 854 2696 V 903 2658 2 13 v 903 2685 a(\012)p 953 2658 V(\011)p 929 2696 V 784 2746 a Fj(H)12 b(H)37 b(K)p 780 2697 200 2 v 992 2483 a Fm(=)p 1040 2373 V 1069 2355 a Fj(K)60 b(K)1063 2386 y Fa(\013)p 1063 2422 2 13 v(\010)p 1113 2422 V 1089 2384 V(\013)p 1163 2422 V(\010)p 1213 2422 V 1188 2384 V 1064 2472 2 50 v 1115 2423 2 2 v 1115 2423 V 1115 2424 V 1115 2424 V 1115 2425 V 1115 2425 V 1115 2426 V 1115 2426 V 1115 2427 V 1115 2427 V 1115 2428 V 1115 2428 V 1116 2429 V 1116 2429 V 1116 2430 V 1116 2430 V 1116 2431 V 1117 2431 V 1117 2432 V 1117 2432 V 1117 2433 V 1118 2433 V 1118 2434 V 1118 2434 V 1119 2435 V 1119 2435 V 1119 2435 V 1120 2436 V 1120 2436 V 1120 2437 V 1121 2437 V 1121 2438 V 1122 2438 V 1122 2438 V 1123 2439 V 1123 2439 V 1124 2440 V 1124 2440 V 1125 2440 V 1125 2441 V 1126 2441 V 1126 2441 V 1127 2442 V 1127 2442 V 1128 2443 V 1129 2443 V 1129 2443 V 1130 2444 V 1131 2444 V 1131 2444 V 1132 2445 V 1133 2445 V 1133 2445 V 1134 2445 V 1135 2446 V 1136 2446 V 1136 2446 V 1137 2447 V 1138 2447 V 1139 2447 V 1140 2448 V 1140 2448 V 1140 2448 V 1141 2448 V 1142 2448 V 1143 2449 V 1143 2449 V 1144 2449 V 1145 2450 V 1146 2450 V 1146 2450 V 1147 2451 V 1148 2451 V 1148 2451 V 1149 2452 V 1150 2452 V 1150 2452 V 1151 2453 V 1152 2453 V 1152 2453 V 1153 2454 V 1153 2454 V 1154 2454 V 1154 2455 V 1155 2455 V 1155 2456 V 1156 2456 V 1156 2456 V 1157 2457 V 1157 2457 V 1158 2458 V 1158 2458 V 1159 2458 V 1159 2459 V 1159 2459 V 1160 2460 V 1160 2460 V 1160 2460 V 1161 2461 V 1161 2461 V 1161 2462 V 1162 2462 V 1162 2463 V 1162 2463 V 1162 2464 V 1163 2464 V 1163 2465 V 1163 2465 V 1163 2466 V 1163 2466 V 1164 2467 V 1164 2467 V 1164 2468 V 1164 2468 V 1164 2469 V 1164 2469 V 1164 2470 V 1164 2470 V 1164 2471 V 1164 2471 V 1164 2472 V 1164 2472 V 1115 2472 V 1115 2472 V 1115 2471 V 1115 2471 V 1115 2470 V 1115 2470 V 1115 2469 V 1115 2469 V 1115 2468 V 1115 2468 V 1115 2467 V 1115 2467 V 1116 2466 V 1116 2466 V 1116 2465 V 1116 2465 V 1116 2464 V 1117 2464 V 1117 2463 V 1117 2463 V 1117 2462 V 1118 2462 V 1118 2461 V 1118 2461 V 1119 2460 V 1119 2460 V 1119 2460 V 1120 2459 V 1120 2459 V 1120 2458 V 1121 2458 V 1121 2458 V 1122 2457 V 1122 2457 V 1123 2456 V 1123 2456 V 1124 2456 V 1124 2455 V 1125 2455 V 1125 2454 V 1126 2454 V 1126 2454 V 1127 2453 V 1127 2453 V 1128 2453 V 1129 2452 V 1129 2452 V 1130 2452 V 1131 2451 V 1131 2451 V 1132 2451 V 1133 2450 V 1133 2450 V 1134 2450 V 1135 2449 V 1136 2449 V 1136 2449 V 1137 2448 V 1138 2448 V 1139 2448 V 1140 2448 V 1140 2448 V 1140 2447 V 1141 2447 V 1142 2447 V 1143 2446 V 1143 2446 V 1144 2446 V 1145 2445 V 1146 2445 V 1146 2445 V 1147 2445 V 1148 2444 V 1148 2444 V 1149 2444 V 1150 2443 V 1150 2443 V 1151 2443 V 1152 2442 V 1152 2442 V 1153 2441 V 1153 2441 V 1154 2441 V 1154 2440 V 1155 2440 V 1155 2440 V 1156 2439 V 1156 2439 V 1157 2438 V 1157 2438 V 1158 2438 V 1158 2437 V 1159 2437 V 1159 2436 V 1159 2436 V 1160 2435 V 1160 2435 V 1160 2435 V 1161 2434 V 1161 2434 V 1161 2433 V 1162 2433 V 1162 2432 V 1162 2432 V 1162 2431 V 1163 2431 V 1163 2430 V 1163 2430 V 1163 2429 V 1163 2429 V 1164 2428 V 1164 2428 V 1164 2427 V 1164 2427 V 1164 2426 V 1164 2426 V 1164 2425 V 1164 2425 V 1164 2424 V 1164 2424 V 1164 2423 V 1164 2423 V 1213 2472 2 50 v 1082 2508 a Ff(r)p 1064 2476 2 5 v 1064 2521 V 1044 2518 50 2 v 1044 2477 V 1043 2517 2 42 v 1114 2476 2 5 v 1114 2521 V 1086 2518 50 2 v 1086 2477 V 1135 2517 2 42 v 1163 2484 2 13 v 1163 2511 a Fa(\012)p 1213 2484 V(\011)p 1188 2521 V 1064 2571 2 50 v 1114 2571 V 1189 2522 2 2 v 1189 2523 V 1189 2524 V 1189 2525 V 1189 2526 V 1189 2526 V 1189 2527 V 1189 2528 V 1189 2529 V 1189 2529 V 1189 2530 V 1189 2531 V 1189 2531 V 1189 2532 V 1189 2533 V 1189 2534 V 1189 2534 V 1189 2535 V 1189 2536 V 1189 2536 V 1189 2537 V 1189 2537 V 1189 2538 V 1189 2539 V 1189 2539 V 1189 2540 V 1189 2540 V 1189 2541 V 1189 2541 V 1189 2542 V 1189 2543 V 1189 2543 V 1189 2544 V 1189 2544 V 1189 2544 V 1189 2545 V 1189 2545 V 1189 2546 V 1189 2546 V 1189 2547 V 1189 2547 V 1189 2547 V 1189 2548 V 1189 2548 V 1189 2548 V 1189 2549 V 1189 2549 V 1189 2550 V 1189 2550 V 1189 2551 V 1189 2551 V 1189 2552 V 1189 2552 V 1189 2553 V 1189 2553 V 1189 2554 V 1189 2555 V 1189 2555 V 1189 2556 V 1189 2556 V 1189 2557 V 1189 2558 V 1189 2558 V 1189 2559 V 1189 2559 V 1189 2560 V 1189 2561 V 1189 2561 V 1189 2562 V 1189 2563 V 1189 2564 V 1189 2564 V 1189 2565 V 1189 2566 V 1189 2567 V 1189 2567 V 1189 2568 V 1189 2569 V 1189 2570 V 1189 2570 V 1189 2571 V 1189 2572 V 1044 2621 a Fj(H)12 b(H)36 b(K)p 1040 2572 200 2 v 1255 2483 a(:)p eop %%Page: 11 11 11 10 bop 42 -75 a Fh(Quan)o(tum)15 b(Groups)g({)f(The)i(F)l(unctorial) g(Side)862 b Fm(11)95 75 y Fl(3.)23 b Fj(\034)d Fl(is)13 b(an)i(isomorphism)g(or)f(e)n(quivalently)g(ther)n(e)g(exists)g(a)g (map)h Fj(s)e Fm(:)f Fj(K)d Fk(\012)d Fj(K)16 b Fk(\000)-25 b(!)14 b Fj(H)9 b Fk(\012)d Fj(H)18 b Fl(such)155 131 y(that)p 625 189 200 2 v 654 172 a Fj(K)61 b(K)648 203 y Fa(\013)p 648 238 2 13 v(\010)p 698 238 V 674 201 V(\013)p 748 238 V(\010)p 798 238 V 774 201 V 649 288 2 50 v 700 239 2 2 v 700 240 V 700 240 V 700 241 V 700 241 V 700 242 V 700 242 V 700 243 V 700 243 V 700 244 V 701 244 V 701 245 V 701 245 V 701 246 V 701 246 V 701 247 V 702 247 V 702 248 V 702 248 V 702 249 V 703 249 V 703 250 V 703 250 V 704 251 V 704 251 V 704 251 V 705 252 V 705 252 V 705 253 V 706 253 V 706 254 V 707 254 V 707 254 V 707 255 V 708 255 V 708 256 V 709 256 V 709 256 V 710 257 V 710 257 V 711 258 V 712 258 V 712 258 V 713 259 V 713 259 V 714 259 V 715 260 V 715 260 V 716 260 V 717 261 V 717 261 V 718 261 V 719 262 V 719 262 V 720 262 V 721 263 V 722 263 V 722 263 V 723 263 V 724 264 V 725 264 V 725 264 V 726 264 V 726 265 V 727 265 V 728 265 V 729 265 V 730 266 V 730 266 V 731 266 V 732 267 V 732 267 V 733 267 V 734 268 V 734 268 V 735 268 V 736 269 V 736 269 V 737 269 V 738 270 V 738 270 V 739 270 V 739 271 V 740 271 V 740 272 V 741 272 V 741 272 V 742 273 V 742 273 V 743 274 V 743 274 V 743 274 V 744 275 V 744 275 V 745 276 V 745 276 V 745 276 V 746 277 V 746 277 V 746 278 V 747 278 V 747 279 V 747 279 V 747 280 V 748 280 V 748 281 V 748 281 V 748 282 V 749 282 V 749 283 V 749 283 V 749 284 V 749 284 V 749 285 V 749 285 V 749 286 V 750 286 V 750 287 V 750 287 V 750 288 V 750 288 V 750 289 V 700 289 V 700 288 V 700 288 V 700 287 V 700 287 V 700 286 V 700 286 V 700 285 V 700 285 V 700 284 V 701 284 V 701 283 V 701 283 V 701 282 V 701 282 V 701 281 V 702 281 V 702 280 V 702 280 V 702 279 V 703 279 V 703 278 V 703 278 V 704 277 V 704 277 V 704 276 V 705 276 V 705 276 V 705 275 V 706 275 V 706 274 V 707 274 V 707 274 V 707 273 V 708 273 V 708 272 V 709 272 V 709 272 V 710 271 V 710 271 V 711 270 V 712 270 V 712 270 V 713 269 V 713 269 V 714 269 V 715 268 V 715 268 V 716 268 V 717 267 V 717 267 V 718 267 V 719 266 V 719 266 V 720 266 V 721 265 V 722 265 V 722 265 V 723 265 V 724 264 V 725 264 V 725 264 V 726 264 V 726 263 V 727 263 V 728 263 V 729 263 V 730 262 V 730 262 V 731 262 V 732 261 V 732 261 V 733 261 V 734 260 V 734 260 V 735 260 V 736 259 V 736 259 V 737 259 V 738 258 V 738 258 V 739 258 V 739 257 V 740 257 V 740 256 V 741 256 V 741 256 V 742 255 V 742 255 V 743 254 V 743 254 V 743 254 V 744 253 V 744 253 V 745 252 V 745 252 V 745 251 V 746 251 V 746 251 V 746 250 V 747 250 V 747 249 V 747 249 V 747 248 V 748 248 V 748 247 V 748 247 V 748 246 V 749 246 V 749 245 V 749 245 V 749 244 V 749 244 V 749 243 V 749 243 V 749 242 V 750 242 V 750 241 V 750 241 V 750 240 V 750 240 V 750 239 V 799 288 2 50 v 650 289 2 2 v 650 289 V 650 290 V 650 291 V 650 291 V 650 292 V 650 292 V 650 293 V 651 293 V 651 294 V 651 294 V 651 295 V 651 295 V 651 296 V 651 296 V 652 297 V 652 297 V 652 298 V 652 298 V 653 299 V 653 299 V 653 299 V 653 300 V 654 300 V 654 301 V 654 301 V 655 302 V 655 302 V 656 303 V 656 303 V 656 303 V 657 304 V 657 304 V 658 305 V 658 305 V 659 305 V 659 306 V 660 306 V 660 307 V 661 307 V 661 307 V 662 308 V 662 308 V 663 308 V 663 309 V 664 309 V 665 309 V 665 310 V 666 310 V 667 310 V 667 311 V 668 311 V 669 311 V 670 312 V 670 312 V 671 312 V 672 313 V 673 313 V 673 313 V 674 314 V 675 314 V 675 314 V 676 314 V 677 314 V 677 315 V 678 315 V 679 315 V 680 316 V 680 316 V 681 316 V 682 316 V 683 317 V 683 317 V 684 317 V 685 318 V 685 318 V 686 318 V 687 319 V 687 319 V 688 320 V 688 320 V 689 320 V 689 321 V 690 321 V 690 321 V 691 322 V 691 322 V 692 323 V 692 323 V 693 323 V 693 324 V 694 324 V 694 325 V 694 325 V 695 325 V 695 326 V 696 326 V 696 327 V 696 327 V 697 328 V 697 328 V 697 329 V 697 329 V 698 329 V 698 330 V 698 330 V 698 331 V 699 331 V 699 332 V 699 332 V 699 333 V 699 333 V 699 334 V 699 334 V 700 335 V 700 335 V 700 336 V 700 337 V 700 337 V 700 338 V 700 338 V 700 339 V 650 339 V 650 338 V 650 338 V 650 337 V 650 337 V 650 336 V 650 335 V 650 335 V 651 334 V 651 334 V 651 333 V 651 333 V 651 332 V 651 332 V 651 331 V 652 331 V 652 330 V 652 330 V 652 329 V 653 329 V 653 329 V 653 328 V 653 328 V 654 327 V 654 327 V 654 326 V 655 326 V 655 325 V 656 325 V 656 325 V 656 324 V 657 324 V 657 323 V 658 323 V 658 323 V 659 322 V 659 322 V 660 321 V 660 321 V 661 321 V 661 320 V 662 320 V 662 320 V 663 319 V 663 319 V 664 318 V 665 318 V 665 318 V 666 317 V 667 317 V 667 317 V 668 316 V 669 316 V 670 316 V 670 316 V 671 315 V 672 315 V 673 315 V 673 314 V 674 314 V 675 314 V 675 314 V 676 314 V 677 313 V 677 313 V 678 313 V 679 312 V 680 312 V 680 312 V 681 311 V 682 311 V 683 311 V 683 310 V 684 310 V 685 310 V 685 309 V 686 309 V 687 309 V 687 308 V 688 308 V 688 308 V 689 307 V 689 307 V 690 307 V 690 306 V 691 306 V 691 305 V 692 305 V 692 305 V 693 304 V 693 304 V 694 303 V 694 303 V 694 303 V 695 302 V 695 302 V 696 301 V 696 301 V 696 300 V 697 300 V 697 299 V 697 299 V 697 299 V 698 298 V 698 298 V 698 297 V 698 297 V 699 296 V 699 296 V 699 295 V 699 295 V 699 294 V 699 294 V 699 293 V 700 293 V 700 292 V 700 292 V 700 291 V 700 291 V 700 290 V 700 289 V 700 289 V 767 324 a Ff(r)p 749 292 2 5 v 749 338 V 729 335 50 2 v 729 293 V 728 334 2 42 v 799 292 2 5 v 799 338 V 770 335 50 2 v 770 293 V 819 334 2 42 v 649 388 2 50 v 700 339 2 2 v 700 339 V 700 340 V 700 340 V 700 341 V 700 341 V 700 342 V 700 342 V 700 343 V 700 343 V 701 344 V 701 345 V 701 345 V 701 346 V 701 346 V 701 346 V 702 347 V 702 347 V 702 348 V 702 348 V 703 349 V 703 349 V 703 350 V 704 350 V 704 351 V 704 351 V 705 352 V 705 352 V 705 352 V 706 353 V 706 353 V 707 354 V 707 354 V 707 354 V 708 355 V 708 355 V 709 356 V 709 356 V 710 356 V 710 357 V 711 357 V 712 358 V 712 358 V 713 358 V 713 359 V 714 359 V 715 359 V 715 360 V 716 360 V 717 360 V 717 361 V 718 361 V 719 361 V 719 362 V 720 362 V 721 362 V 722 362 V 722 363 V 723 363 V 724 363 V 725 364 V 725 364 V 726 364 V 726 364 V 727 364 V 728 365 V 729 365 V 730 365 V 730 366 V 731 366 V 732 366 V 732 367 V 733 367 V 734 367 V 734 368 V 735 368 V 736 368 V 736 369 V 737 369 V 738 369 V 738 370 V 739 370 V 739 370 V 740 371 V 740 371 V 741 372 V 741 372 V 742 372 V 742 373 V 743 373 V 743 374 V 743 374 V 744 374 V 744 375 V 745 375 V 745 376 V 745 376 V 746 377 V 746 377 V 746 377 V 747 378 V 747 378 V 747 379 V 747 379 V 748 380 V 748 380 V 748 381 V 748 381 V 749 382 V 749 382 V 749 383 V 749 383 V 749 384 V 749 384 V 749 385 V 749 385 V 750 386 V 750 386 V 750 387 V 750 387 V 750 388 V 750 389 V 700 389 V 700 388 V 700 387 V 700 387 V 700 386 V 700 386 V 700 385 V 700 385 V 700 384 V 700 384 V 701 383 V 701 383 V 701 382 V 701 382 V 701 381 V 701 381 V 702 380 V 702 380 V 702 379 V 702 379 V 703 378 V 703 378 V 703 377 V 704 377 V 704 377 V 704 376 V 705 376 V 705 375 V 705 375 V 706 374 V 706 374 V 707 374 V 707 373 V 707 373 V 708 372 V 708 372 V 709 372 V 709 371 V 710 371 V 710 370 V 711 370 V 712 370 V 712 369 V 713 369 V 713 369 V 714 368 V 715 368 V 715 368 V 716 367 V 717 367 V 717 367 V 718 366 V 719 366 V 719 366 V 720 365 V 721 365 V 722 365 V 722 364 V 723 364 V 724 364 V 725 364 V 725 364 V 726 363 V 726 363 V 727 363 V 728 362 V 729 362 V 730 362 V 730 362 V 731 361 V 732 361 V 732 361 V 733 360 V 734 360 V 734 360 V 735 359 V 736 359 V 736 359 V 737 358 V 738 358 V 738 358 V 739 357 V 739 357 V 740 356 V 740 356 V 741 356 V 741 355 V 742 355 V 742 354 V 743 354 V 743 354 V 743 353 V 744 353 V 744 352 V 745 352 V 745 352 V 745 351 V 746 351 V 746 350 V 746 350 V 747 349 V 747 349 V 747 348 V 747 348 V 748 347 V 748 347 V 748 346 V 748 346 V 749 346 V 749 345 V 749 345 V 749 344 V 749 344 V 749 343 V 749 342 V 749 342 V 750 341 V 750 341 V 750 340 V 750 340 V 750 339 V 750 339 V 799 388 2 50 v 675 413 a Fa(e)p 650 389 2 2 v 650 389 V 650 390 V 650 390 V 650 391 V 650 391 V 650 392 V 650 392 V 651 393 V 651 393 V 651 394 V 651 394 V 651 395 V 651 395 V 651 396 V 652 396 V 652 397 V 652 397 V 652 398 V 653 398 V 653 399 V 653 399 V 653 400 V 654 400 V 654 400 V 654 401 V 655 401 V 655 402 V 656 402 V 656 403 V 656 403 V 657 403 V 657 404 V 658 404 V 658 405 V 659 405 V 659 405 V 660 406 V 660 406 V 661 407 V 661 407 V 662 407 V 662 408 V 663 408 V 663 408 V 664 409 V 665 409 V 665 409 V 666 410 V 667 410 V 667 410 V 668 411 V 669 411 V 670 411 V 670 412 V 671 412 V 672 412 V 673 413 V 673 413 V 674 413 V 675 413 V 675 413 V 676 414 V 677 414 V 677 414 V 678 415 V 679 415 V 680 415 V 680 415 V 681 416 V 682 416 V 683 416 V 683 417 V 684 417 V 685 417 V 685 418 V 686 418 V 687 418 V 687 419 V 688 419 V 688 420 V 689 420 V 689 420 V 690 421 V 690 421 V 691 421 V 691 422 V 692 422 V 692 423 V 693 423 V 693 423 V 694 424 V 694 424 V 694 425 V 695 425 V 695 425 V 696 426 V 696 426 V 696 427 V 697 427 V 697 428 V 697 428 V 697 429 V 698 429 V 698 430 V 698 430 V 698 431 V 699 431 V 699 432 V 699 432 V 699 433 V 699 433 V 699 434 V 699 434 V 700 435 V 700 435 V 700 436 V 700 436 V 700 437 V 700 437 V 700 438 V 700 438 V 650 438 V 650 438 V 650 437 V 650 436 V 650 435 V 650 434 V 650 434 V 651 433 V 651 432 V 651 431 V 651 431 V 651 430 V 652 429 V 652 429 V 652 428 V 652 428 V 653 427 V 653 426 V 653 426 V 654 425 V 654 425 V 655 424 V 655 424 V 656 423 V 656 423 V 657 422 V 657 422 V 658 422 V 658 421 V 659 421 V 659 420 V 660 420 V 661 420 V 661 419 V 662 419 V 663 419 V 664 419 V 664 418 V 665 418 V 666 418 V 667 418 V 700 389 V 700 389 V 700 390 V 700 391 V 700 392 V 700 392 V 700 393 V 699 394 V 699 395 V 699 395 V 699 396 V 699 397 V 698 397 V 698 398 V 698 399 V 698 399 V 697 400 V 697 400 V 697 401 V 696 401 V 696 402 V 695 403 V 695 403 V 694 403 V 694 404 V 693 404 V 693 405 V 692 405 V 692 406 V 691 406 V 691 406 V 690 407 V 689 407 V 689 407 V 688 408 V 687 408 V 686 408 V 686 409 V 685 409 V 684 409 V 683 409 V 75 w(e)p 750 389 V 750 389 V 750 390 V 750 390 V 750 391 V 750 391 V 750 392 V 750 392 V 750 393 V 750 393 V 750 394 V 751 394 V 751 395 V 751 395 V 751 396 V 751 396 V 751 397 V 752 397 V 752 398 V 752 398 V 752 399 V 753 399 V 753 400 V 753 400 V 754 400 V 754 401 V 754 401 V 755 402 V 755 402 V 756 403 V 756 403 V 756 403 V 757 404 V 757 404 V 758 405 V 758 405 V 759 405 V 759 406 V 760 406 V 760 407 V 761 407 V 761 407 V 762 408 V 763 408 V 763 408 V 764 409 V 764 409 V 765 409 V 766 410 V 766 410 V 767 410 V 768 411 V 768 411 V 769 411 V 770 412 V 771 412 V 771 412 V 772 413 V 773 413 V 774 413 V 775 413 V 775 413 V 775 414 V 776 414 V 777 414 V 778 415 V 779 415 V 779 415 V 780 415 V 781 416 V 782 416 V 782 416 V 783 417 V 784 417 V 784 417 V 785 418 V 786 418 V 786 418 V 787 419 V 787 419 V 788 420 V 788 420 V 789 420 V 790 421 V 790 421 V 791 421 V 791 422 V 792 422 V 792 423 V 792 423 V 793 423 V 793 424 V 794 424 V 794 425 V 794 425 V 795 425 V 795 426 V 796 426 V 796 427 V 796 427 V 796 428 V 797 428 V 797 429 V 797 429 V 798 430 V 798 430 V 798 431 V 798 431 V 798 432 V 799 432 V 799 433 V 799 433 V 799 434 V 799 434 V 799 435 V 799 435 V 799 436 V 799 436 V 799 437 V 800 437 V 800 438 V 800 438 V 750 438 V 750 438 V 750 437 V 750 436 V 750 435 V 750 434 V 750 434 V 750 433 V 750 432 V 751 431 V 751 431 V 751 430 V 751 429 V 751 429 V 752 428 V 752 428 V 752 427 V 753 426 V 753 426 V 753 425 V 754 425 V 754 424 V 755 424 V 755 423 V 756 423 V 756 422 V 757 422 V 757 422 V 758 421 V 758 421 V 759 420 V 760 420 V 760 420 V 761 419 V 762 419 V 762 419 V 763 419 V 764 418 V 765 418 V 766 418 V 766 418 V 800 389 V 800 389 V 799 390 V 799 391 V 799 392 V 799 392 V 799 393 V 799 394 V 799 395 V 799 395 V 798 396 V 798 397 V 798 397 V 798 398 V 798 399 V 797 399 V 797 400 V 797 400 V 796 401 V 796 401 V 795 402 V 795 403 V 795 403 V 794 403 V 794 404 V 793 404 V 793 405 V 792 405 V 791 406 V 791 406 V 790 406 V 790 407 V 789 407 V 788 407 V 788 408 V 787 408 V 786 408 V 785 409 V 785 409 V 784 409 V 783 409 V 649 487 2 50 v 700 438 2 2 v 700 439 V 700 439 V 700 440 V 700 441 V 700 441 V 700 442 V 700 442 V 700 443 V 700 443 V 701 444 V 701 444 V 701 445 V 701 445 V 701 446 V 701 446 V 702 447 V 702 447 V 702 448 V 702 448 V 703 448 V 703 449 V 703 449 V 704 450 V 704 450 V 704 451 V 705 451 V 705 452 V 705 452 V 706 452 V 706 453 V 707 453 V 707 454 V 707 454 V 708 454 V 708 455 V 709 455 V 709 456 V 710 456 V 710 456 V 711 457 V 712 457 V 712 458 V 713 458 V 713 458 V 714 459 V 715 459 V 715 459 V 716 460 V 717 460 V 717 460 V 718 461 V 719 461 V 719 461 V 720 461 V 721 462 V 722 462 V 722 462 V 723 463 V 724 463 V 725 463 V 725 463 V 726 464 V 726 464 V 727 464 V 728 464 V 729 465 V 730 465 V 730 465 V 731 466 V 732 466 V 732 466 V 733 467 V 734 467 V 734 467 V 735 468 V 736 468 V 736 468 V 737 469 V 738 469 V 738 469 V 739 470 V 739 470 V 740 470 V 740 471 V 741 471 V 741 472 V 742 472 V 742 472 V 743 473 V 743 473 V 743 474 V 744 474 V 744 474 V 745 475 V 745 475 V 745 476 V 746 476 V 746 477 V 746 477 V 747 478 V 747 478 V 747 478 V 747 479 V 748 479 V 748 480 V 748 480 V 748 481 V 749 481 V 749 482 V 749 482 V 749 483 V 749 483 V 749 484 V 749 484 V 749 485 V 750 485 V 750 486 V 750 486 V 750 487 V 750 488 V 750 488 V 700 488 V 700 488 V 700 487 V 700 487 V 700 486 V 700 485 V 700 485 V 700 484 V 700 484 V 700 483 V 701 483 V 701 482 V 701 482 V 701 481 V 701 481 V 701 480 V 702 480 V 702 479 V 702 479 V 702 478 V 703 478 V 703 478 V 703 477 V 704 477 V 704 476 V 704 476 V 705 475 V 705 475 V 705 474 V 706 474 V 706 474 V 707 473 V 707 473 V 707 472 V 708 472 V 708 472 V 709 471 V 709 471 V 710 470 V 710 470 V 711 470 V 712 469 V 712 469 V 713 469 V 713 468 V 714 468 V 715 468 V 715 467 V 716 467 V 717 467 V 717 466 V 718 466 V 719 466 V 719 465 V 720 465 V 721 465 V 722 464 V 722 464 V 723 464 V 724 464 V 725 463 V 725 463 V 726 463 V 726 463 V 727 462 V 728 462 V 729 462 V 730 461 V 730 461 V 731 461 V 732 461 V 732 460 V 733 460 V 734 460 V 734 459 V 735 459 V 736 459 V 736 458 V 737 458 V 738 458 V 738 457 V 739 457 V 739 456 V 740 456 V 740 456 V 741 455 V 741 455 V 742 454 V 742 454 V 743 454 V 743 453 V 743 453 V 744 452 V 744 452 V 745 452 V 745 451 V 745 451 V 746 450 V 746 450 V 746 449 V 747 449 V 747 448 V 747 448 V 747 448 V 748 447 V 748 447 V 748 446 V 748 446 V 749 445 V 749 445 V 749 444 V 749 444 V 749 443 V 749 443 V 749 442 V 749 442 V 750 441 V 750 441 V 750 440 V 750 439 V 750 439 V 750 438 V 799 487 2 50 v 650 488 2 2 v 650 489 V 650 489 V 650 490 V 650 490 V 650 491 V 650 491 V 650 492 V 651 492 V 651 493 V 651 493 V 651 494 V 651 494 V 651 495 V 651 495 V 652 496 V 652 496 V 652 497 V 652 497 V 653 498 V 653 498 V 653 499 V 653 499 V 654 500 V 654 500 V 654 501 V 655 501 V 655 501 V 656 502 V 656 502 V 656 503 V 657 503 V 657 503 V 658 504 V 658 504 V 659 505 V 659 505 V 660 505 V 660 506 V 661 506 V 661 507 V 662 507 V 662 507 V 663 508 V 663 508 V 664 508 V 665 509 V 665 509 V 666 509 V 667 510 V 667 510 V 668 510 V 669 511 V 670 511 V 670 511 V 671 512 V 672 512 V 673 512 V 673 512 V 674 513 V 675 513 V 675 513 V 676 513 V 677 514 V 677 514 V 678 514 V 679 514 V 680 515 V 680 515 V 681 515 V 682 516 V 683 516 V 683 516 V 684 517 V 685 517 V 685 517 V 686 518 V 687 518 V 687 518 V 688 519 V 688 519 V 689 520 V 689 520 V 690 520 V 690 521 V 691 521 V 691 521 V 692 522 V 692 522 V 693 523 V 693 523 V 694 523 V 694 524 V 694 524 V 695 525 V 695 525 V 696 526 V 696 526 V 696 526 V 697 527 V 697 527 V 697 528 V 697 528 V 698 529 V 698 529 V 698 530 V 698 530 V 699 531 V 699 531 V 699 532 V 699 532 V 699 533 V 699 533 V 699 534 V 700 534 V 700 535 V 700 535 V 700 536 V 700 536 V 700 537 V 700 537 V 700 538 V 650 538 V 650 537 V 650 537 V 650 536 V 650 536 V 650 535 V 650 535 V 650 534 V 651 534 V 651 533 V 651 533 V 651 532 V 651 532 V 651 531 V 651 531 V 652 530 V 652 530 V 652 529 V 652 529 V 653 528 V 653 528 V 653 527 V 653 527 V 654 526 V 654 526 V 654 526 V 655 525 V 655 525 V 656 524 V 656 524 V 656 523 V 657 523 V 657 523 V 658 522 V 658 522 V 659 521 V 659 521 V 660 521 V 660 520 V 661 520 V 661 520 V 662 519 V 662 519 V 663 518 V 663 518 V 664 518 V 665 517 V 665 517 V 666 517 V 667 516 V 667 516 V 668 516 V 669 515 V 670 515 V 670 515 V 671 514 V 672 514 V 673 514 V 673 514 V 674 513 V 675 513 V 675 513 V 676 513 V 677 512 V 677 512 V 678 512 V 679 512 V 680 511 V 680 511 V 681 511 V 682 510 V 683 510 V 683 510 V 684 509 V 685 509 V 685 509 V 686 508 V 687 508 V 687 508 V 688 507 V 688 507 V 689 507 V 689 506 V 690 506 V 690 505 V 691 505 V 691 505 V 692 504 V 692 504 V 693 503 V 693 503 V 694 503 V 694 502 V 694 502 V 695 501 V 695 501 V 696 501 V 696 500 V 696 500 V 697 499 V 697 499 V 697 498 V 697 498 V 698 497 V 698 497 V 698 496 V 698 496 V 699 495 V 699 495 V 699 494 V 699 494 V 699 493 V 699 493 V 699 492 V 700 492 V 700 491 V 700 491 V 700 490 V 700 490 V 700 489 V 700 489 V 700 488 V 767 524 a Ff(s)p 749 491 2 5 v 749 537 V 729 534 50 2 v 729 492 V 728 533 2 42 v 799 491 2 5 v 799 537 V 770 534 50 2 v 770 492 V 819 533 2 42 v 649 587 2 50 v 700 538 2 2 v 700 539 V 700 539 V 700 540 V 700 540 V 700 541 V 700 541 V 700 542 V 700 542 V 700 543 V 701 543 V 701 544 V 701 544 V 701 545 V 701 545 V 701 546 V 702 546 V 702 547 V 702 547 V 702 548 V 703 548 V 703 549 V 703 549 V 704 549 V 704 550 V 704 550 V 705 551 V 705 551 V 705 552 V 706 552 V 706 552 V 707 553 V 707 553 V 707 554 V 708 554 V 708 555 V 709 555 V 709 555 V 710 556 V 710 556 V 711 556 V 712 557 V 712 557 V 713 557 V 713 558 V 714 558 V 715 559 V 715 559 V 716 559 V 717 560 V 717 560 V 718 560 V 719 561 V 719 561 V 720 561 V 721 561 V 722 562 V 722 562 V 723 562 V 724 563 V 725 563 V 725 563 V 726 563 V 726 563 V 727 564 V 728 564 V 729 564 V 730 565 V 730 565 V 731 565 V 732 566 V 732 566 V 733 566 V 734 567 V 734 567 V 735 567 V 736 568 V 736 568 V 737 568 V 738 569 V 738 569 V 739 569 V 739 570 V 740 570 V 740 570 V 741 571 V 741 571 V 742 572 V 742 572 V 743 572 V 743 573 V 743 573 V 744 574 V 744 574 V 745 575 V 745 575 V 745 575 V 746 576 V 746 576 V 746 577 V 747 577 V 747 578 V 747 578 V 747 579 V 748 579 V 748 580 V 748 580 V 748 580 V 749 581 V 749 581 V 749 582 V 749 582 V 749 583 V 749 583 V 749 584 V 749 585 V 750 585 V 750 586 V 750 586 V 750 587 V 750 587 V 750 588 V 700 588 V 700 587 V 700 587 V 700 586 V 700 586 V 700 585 V 700 585 V 700 584 V 700 583 V 700 583 V 701 582 V 701 582 V 701 581 V 701 581 V 701 580 V 701 580 V 702 580 V 702 579 V 702 579 V 702 578 V 703 578 V 703 577 V 703 577 V 704 576 V 704 576 V 704 575 V 705 575 V 705 575 V 705 574 V 706 574 V 706 573 V 707 573 V 707 572 V 707 572 V 708 572 V 708 571 V 709 571 V 709 570 V 710 570 V 710 570 V 711 569 V 712 569 V 712 569 V 713 568 V 713 568 V 714 568 V 715 567 V 715 567 V 716 567 V 717 566 V 717 566 V 718 566 V 719 565 V 719 565 V 720 565 V 721 564 V 722 564 V 722 564 V 723 563 V 724 563 V 725 563 V 725 563 V 726 563 V 726 562 V 727 562 V 728 562 V 729 561 V 730 561 V 730 561 V 731 561 V 732 560 V 732 560 V 733 560 V 734 559 V 734 559 V 735 559 V 736 558 V 736 558 V 737 557 V 738 557 V 738 557 V 739 556 V 739 556 V 740 556 V 740 555 V 741 555 V 741 555 V 742 554 V 742 554 V 743 553 V 743 553 V 743 552 V 744 552 V 744 552 V 745 551 V 745 551 V 745 550 V 746 550 V 746 549 V 746 549 V 747 549 V 747 548 V 747 548 V 747 547 V 748 547 V 748 546 V 748 546 V 748 545 V 749 545 V 749 544 V 749 544 V 749 543 V 749 543 V 749 542 V 749 542 V 749 541 V 750 541 V 750 540 V 750 540 V 750 539 V 750 539 V 750 538 V 799 587 2 50 v 648 599 2 13 v 648 626 a Fa(\012)p 698 599 V(\011)p 674 637 V 748 599 V(\012)p 798 599 V(\011)p 774 637 V 654 687 a Fj(H)h(H)p 625 638 200 2 v 837 424 a Fm(=)p 885 314 100 2 v 889 296 a Fj(K)11 b(K)p 909 363 2 50 v 959 363 V 909 388 2 25 v 910 388 a Fa(r)p 959 388 V 38 w(r)p 909 462 V 910 438 a(r)p 959 462 V 38 w(r)p 909 512 2 50 v 959 512 V 889 562 a Fj(H)h(H)p 885 513 100 2 v 997 424 a Fm(=)p 1045 189 200 2 v 1074 172 a Fj(K)61 b(K)1069 203 y Fa(\013)p 1069 238 2 13 v -1 w(\010)p 1118 238 V 1094 201 V(\013)p 1168 238 V(\010)p 1218 238 V 1194 201 V 1069 288 2 50 v 1120 239 2 2 v 1120 240 V 1120 240 V 1120 241 V 1120 241 V 1120 242 V 1120 242 V 1120 243 V 1120 243 V 1121 244 V 1121 244 V 1121 245 V 1121 245 V 1121 246 V 1121 246 V 1122 247 V 1122 247 V 1122 248 V 1122 248 V 1122 249 V 1123 249 V 1123 250 V 1123 250 V 1124 251 V 1124 251 V 1124 251 V 1125 252 V 1125 252 V 1125 253 V 1126 253 V 1126 254 V 1127 254 V 1127 254 V 1128 255 V 1128 255 V 1128 256 V 1129 256 V 1129 256 V 1130 257 V 1131 257 V 1131 258 V 1132 258 V 1132 258 V 1133 259 V 1133 259 V 1134 259 V 1135 260 V 1135 260 V 1136 260 V 1137 261 V 1137 261 V 1138 261 V 1139 262 V 1139 262 V 1140 262 V 1141 263 V 1142 263 V 1142 263 V 1143 263 V 1144 264 V 1145 264 V 1145 264 V 1146 264 V 1147 265 V 1147 265 V 1148 265 V 1149 265 V 1150 266 V 1150 266 V 1151 266 V 1152 267 V 1153 267 V 1153 267 V 1154 268 V 1155 268 V 1155 268 V 1156 269 V 1156 269 V 1157 269 V 1158 270 V 1158 270 V 1159 270 V 1159 271 V 1160 271 V 1160 272 V 1161 272 V 1161 272 V 1162 273 V 1162 273 V 1163 274 V 1163 274 V 1164 274 V 1164 275 V 1164 275 V 1165 276 V 1165 276 V 1165 276 V 1166 277 V 1166 277 V 1166 278 V 1167 278 V 1167 279 V 1167 279 V 1168 280 V 1168 280 V 1168 281 V 1168 281 V 1168 282 V 1169 282 V 1169 283 V 1169 283 V 1169 284 V 1169 284 V 1169 285 V 1169 285 V 1170 286 V 1170 286 V 1170 287 V 1170 287 V 1170 288 V 1170 288 V 1170 289 V 1120 289 V 1120 288 V 1120 288 V 1120 287 V 1120 287 V 1120 286 V 1120 286 V 1120 285 V 1120 285 V 1121 284 V 1121 284 V 1121 283 V 1121 283 V 1121 282 V 1121 282 V 1122 281 V 1122 281 V 1122 280 V 1122 280 V 1122 279 V 1123 279 V 1123 278 V 1123 278 V 1124 277 V 1124 277 V 1124 276 V 1125 276 V 1125 276 V 1125 275 V 1126 275 V 1126 274 V 1127 274 V 1127 274 V 1128 273 V 1128 273 V 1128 272 V 1129 272 V 1129 272 V 1130 271 V 1131 271 V 1131 270 V 1132 270 V 1132 270 V 1133 269 V 1133 269 V 1134 269 V 1135 268 V 1135 268 V 1136 268 V 1137 267 V 1137 267 V 1138 267 V 1139 266 V 1139 266 V 1140 266 V 1141 265 V 1142 265 V 1142 265 V 1143 265 V 1144 264 V 1145 264 V 1145 264 V 1146 264 V 1147 263 V 1147 263 V 1148 263 V 1149 263 V 1150 262 V 1150 262 V 1151 262 V 1152 261 V 1153 261 V 1153 261 V 1154 260 V 1155 260 V 1155 260 V 1156 259 V 1156 259 V 1157 259 V 1158 258 V 1158 258 V 1159 258 V 1159 257 V 1160 257 V 1160 256 V 1161 256 V 1161 256 V 1162 255 V 1162 255 V 1163 254 V 1163 254 V 1164 254 V 1164 253 V 1164 253 V 1165 252 V 1165 252 V 1165 251 V 1166 251 V 1166 251 V 1166 250 V 1167 250 V 1167 249 V 1167 249 V 1168 248 V 1168 248 V 1168 247 V 1168 247 V 1168 246 V 1169 246 V 1169 245 V 1169 245 V 1169 244 V 1169 244 V 1169 243 V 1169 243 V 1170 242 V 1170 242 V 1170 241 V 1170 241 V 1170 240 V 1170 240 V 1170 239 V 1219 288 2 50 v 1070 289 2 2 v 1070 289 V 1070 290 V 1070 291 V 1070 291 V 1070 292 V 1070 292 V 1071 293 V 1071 293 V 1071 294 V 1071 294 V 1071 295 V 1071 295 V 1071 296 V 1072 296 V 1072 297 V 1072 297 V 1072 298 V 1072 298 V 1073 299 V 1073 299 V 1073 299 V 1074 300 V 1074 300 V 1074 301 V 1075 301 V 1075 302 V 1075 302 V 1076 303 V 1076 303 V 1076 303 V 1077 304 V 1077 304 V 1078 305 V 1078 305 V 1079 305 V 1079 306 V 1080 306 V 1080 307 V 1081 307 V 1081 307 V 1082 308 V 1082 308 V 1083 308 V 1084 309 V 1084 309 V 1085 309 V 1085 310 V 1086 310 V 1087 310 V 1087 311 V 1088 311 V 1089 311 V 1090 312 V 1090 312 V 1091 312 V 1092 313 V 1093 313 V 1093 313 V 1094 314 V 1095 314 V 1095 314 V 1096 314 V 1097 314 V 1098 315 V 1098 315 V 1099 315 V 1100 316 V 1101 316 V 1101 316 V 1102 316 V 1103 317 V 1103 317 V 1104 317 V 1105 318 V 1105 318 V 1106 318 V 1107 319 V 1107 319 V 1108 320 V 1108 320 V 1109 320 V 1109 321 V 1110 321 V 1111 321 V 1111 322 V 1112 322 V 1112 323 V 1112 323 V 1113 323 V 1113 324 V 1114 324 V 1114 325 V 1115 325 V 1115 325 V 1115 326 V 1116 326 V 1116 327 V 1116 327 V 1117 328 V 1117 328 V 1117 329 V 1118 329 V 1118 329 V 1118 330 V 1118 330 V 1118 331 V 1119 331 V 1119 332 V 1119 332 V 1119 333 V 1119 333 V 1119 334 V 1120 334 V 1120 335 V 1120 335 V 1120 336 V 1120 337 V 1120 337 V 1120 338 V 1120 338 V 1120 339 V 1070 339 V 1070 338 V 1070 338 V 1070 337 V 1070 337 V 1070 336 V 1070 335 V 1071 335 V 1071 334 V 1071 334 V 1071 333 V 1071 333 V 1071 332 V 1071 332 V 1072 331 V 1072 331 V 1072 330 V 1072 330 V 1072 329 V 1073 329 V 1073 329 V 1073 328 V 1074 328 V 1074 327 V 1074 327 V 1075 326 V 1075 326 V 1075 325 V 1076 325 V 1076 325 V 1076 324 V 1077 324 V 1077 323 V 1078 323 V 1078 323 V 1079 322 V 1079 322 V 1080 321 V 1080 321 V 1081 321 V 1081 320 V 1082 320 V 1082 320 V 1083 319 V 1084 319 V 1084 318 V 1085 318 V 1085 318 V 1086 317 V 1087 317 V 1087 317 V 1088 316 V 1089 316 V 1090 316 V 1090 316 V 1091 315 V 1092 315 V 1093 315 V 1093 314 V 1094 314 V 1095 314 V 1095 314 V 1096 314 V 1097 313 V 1098 313 V 1098 313 V 1099 312 V 1100 312 V 1101 312 V 1101 311 V 1102 311 V 1103 311 V 1103 310 V 1104 310 V 1105 310 V 1105 309 V 1106 309 V 1107 309 V 1107 308 V 1108 308 V 1108 308 V 1109 307 V 1109 307 V 1110 307 V 1111 306 V 1111 306 V 1112 305 V 1112 305 V 1112 305 V 1113 304 V 1113 304 V 1114 303 V 1114 303 V 1115 303 V 1115 302 V 1115 302 V 1116 301 V 1116 301 V 1116 300 V 1117 300 V 1117 299 V 1117 299 V 1118 299 V 1118 298 V 1118 298 V 1118 297 V 1118 297 V 1119 296 V 1119 296 V 1119 295 V 1119 295 V 1119 294 V 1119 294 V 1120 293 V 1120 293 V 1120 292 V 1120 292 V 1120 291 V 1120 291 V 1120 290 V 1120 289 V 1120 289 V 1187 324 a Ff(s)p 1169 292 2 5 v 1169 338 V 1149 335 50 2 v 1149 293 V 1148 334 2 42 v 1219 292 2 5 v 1219 338 V 1191 335 50 2 v 1191 293 V 1240 334 2 42 v 1069 388 2 50 v 1120 339 2 2 v 1120 339 V 1120 340 V 1120 340 V 1120 341 V 1120 341 V 1120 342 V 1120 342 V 1120 343 V 1121 343 V 1121 344 V 1121 345 V 1121 345 V 1121 346 V 1121 346 V 1122 346 V 1122 347 V 1122 347 V 1122 348 V 1122 348 V 1123 349 V 1123 349 V 1123 350 V 1124 350 V 1124 351 V 1124 351 V 1125 352 V 1125 352 V 1125 352 V 1126 353 V 1126 353 V 1127 354 V 1127 354 V 1128 354 V 1128 355 V 1128 355 V 1129 356 V 1129 356 V 1130 356 V 1131 357 V 1131 357 V 1132 358 V 1132 358 V 1133 358 V 1133 359 V 1134 359 V 1135 359 V 1135 360 V 1136 360 V 1137 360 V 1137 361 V 1138 361 V 1139 361 V 1139 362 V 1140 362 V 1141 362 V 1142 362 V 1142 363 V 1143 363 V 1144 363 V 1145 364 V 1145 364 V 1146 364 V 1147 364 V 1147 364 V 1148 365 V 1149 365 V 1150 365 V 1150 366 V 1151 366 V 1152 366 V 1153 367 V 1153 367 V 1154 367 V 1155 368 V 1155 368 V 1156 368 V 1156 369 V 1157 369 V 1158 369 V 1158 370 V 1159 370 V 1159 370 V 1160 371 V 1160 371 V 1161 372 V 1161 372 V 1162 372 V 1162 373 V 1163 373 V 1163 374 V 1164 374 V 1164 374 V 1164 375 V 1165 375 V 1165 376 V 1165 376 V 1166 377 V 1166 377 V 1166 377 V 1167 378 V 1167 378 V 1167 379 V 1168 379 V 1168 380 V 1168 380 V 1168 381 V 1168 381 V 1169 382 V 1169 382 V 1169 383 V 1169 383 V 1169 384 V 1169 384 V 1169 385 V 1170 385 V 1170 386 V 1170 386 V 1170 387 V 1170 387 V 1170 388 V 1170 389 V 1120 389 V 1120 388 V 1120 387 V 1120 387 V 1120 386 V 1120 386 V 1120 385 V 1120 385 V 1120 384 V 1121 384 V 1121 383 V 1121 383 V 1121 382 V 1121 382 V 1121 381 V 1122 381 V 1122 380 V 1122 380 V 1122 379 V 1122 379 V 1123 378 V 1123 378 V 1123 377 V 1124 377 V 1124 377 V 1124 376 V 1125 376 V 1125 375 V 1125 375 V 1126 374 V 1126 374 V 1127 374 V 1127 373 V 1128 373 V 1128 372 V 1128 372 V 1129 372 V 1129 371 V 1130 371 V 1131 370 V 1131 370 V 1132 370 V 1132 369 V 1133 369 V 1133 369 V 1134 368 V 1135 368 V 1135 368 V 1136 367 V 1137 367 V 1137 367 V 1138 366 V 1139 366 V 1139 366 V 1140 365 V 1141 365 V 1142 365 V 1142 364 V 1143 364 V 1144 364 V 1145 364 V 1145 364 V 1146 363 V 1147 363 V 1147 363 V 1148 362 V 1149 362 V 1150 362 V 1150 362 V 1151 361 V 1152 361 V 1153 361 V 1153 360 V 1154 360 V 1155 360 V 1155 359 V 1156 359 V 1156 359 V 1157 358 V 1158 358 V 1158 358 V 1159 357 V 1159 357 V 1160 356 V 1160 356 V 1161 356 V 1161 355 V 1162 355 V 1162 354 V 1163 354 V 1163 354 V 1164 353 V 1164 353 V 1164 352 V 1165 352 V 1165 352 V 1165 351 V 1166 351 V 1166 350 V 1166 350 V 1167 349 V 1167 349 V 1167 348 V 1168 348 V 1168 347 V 1168 347 V 1168 346 V 1168 346 V 1169 346 V 1169 345 V 1169 345 V 1169 344 V 1169 344 V 1169 343 V 1169 342 V 1170 342 V 1170 341 V 1170 341 V 1170 340 V 1170 340 V 1170 339 V 1170 339 V 1219 388 2 50 v 1095 413 a Fa(e)p 1070 389 2 2 v 1070 389 V 1070 390 V 1070 390 V 1070 391 V 1070 391 V 1070 392 V 1071 392 V 1071 393 V 1071 393 V 1071 394 V 1071 394 V 1071 395 V 1071 395 V 1072 396 V 1072 396 V 1072 397 V 1072 397 V 1072 398 V 1073 398 V 1073 399 V 1073 399 V 1074 400 V 1074 400 V 1074 400 V 1075 401 V 1075 401 V 1075 402 V 1076 402 V 1076 403 V 1076 403 V 1077 403 V 1077 404 V 1078 404 V 1078 405 V 1079 405 V 1079 405 V 1080 406 V 1080 406 V 1081 407 V 1081 407 V 1082 407 V 1082 408 V 1083 408 V 1084 408 V 1084 409 V 1085 409 V 1085 409 V 1086 410 V 1087 410 V 1087 410 V 1088 411 V 1089 411 V 1090 411 V 1090 412 V 1091 412 V 1092 412 V 1093 413 V 1093 413 V 1094 413 V 1095 413 V 1095 413 V 1096 414 V 1097 414 V 1098 414 V 1098 415 V 1099 415 V 1100 415 V 1101 415 V 1101 416 V 1102 416 V 1103 416 V 1103 417 V 1104 417 V 1105 417 V 1105 418 V 1106 418 V 1107 418 V 1107 419 V 1108 419 V 1108 420 V 1109 420 V 1109 420 V 1110 421 V 1111 421 V 1111 421 V 1112 422 V 1112 422 V 1112 423 V 1113 423 V 1113 423 V 1114 424 V 1114 424 V 1115 425 V 1115 425 V 1115 425 V 1116 426 V 1116 426 V 1116 427 V 1117 427 V 1117 428 V 1117 428 V 1118 429 V 1118 429 V 1118 430 V 1118 430 V 1118 431 V 1119 431 V 1119 432 V 1119 432 V 1119 433 V 1119 433 V 1119 434 V 1120 434 V 1120 435 V 1120 435 V 1120 436 V 1120 436 V 1120 437 V 1120 437 V 1120 438 V 1120 438 V 1070 438 V 1070 438 V 1070 437 V 1070 436 V 1070 435 V 1070 434 V 1071 434 V 1071 433 V 1071 432 V 1071 431 V 1071 431 V 1071 430 V 1072 429 V 1072 429 V 1072 428 V 1073 428 V 1073 427 V 1073 426 V 1074 426 V 1074 425 V 1074 425 V 1075 424 V 1075 424 V 1076 423 V 1076 423 V 1077 422 V 1077 422 V 1078 422 V 1078 421 V 1079 421 V 1080 420 V 1080 420 V 1081 420 V 1081 419 V 1082 419 V 1083 419 V 1084 419 V 1084 418 V 1085 418 V 1086 418 V 1087 418 V 1120 389 V 1120 389 V 1120 390 V 1120 391 V 1120 392 V 1120 392 V 1120 393 V 1119 394 V 1119 395 V 1119 395 V 1119 396 V 1119 397 V 1119 397 V 1118 398 V 1118 399 V 1118 399 V 1117 400 V 1117 400 V 1117 401 V 1116 401 V 1116 402 V 1115 403 V 1115 403 V 1115 403 V 1114 404 V 1114 404 V 1113 405 V 1112 405 V 1112 406 V 1111 406 V 1111 406 V 1110 407 V 1109 407 V 1109 407 V 1108 408 V 1107 408 V 1107 408 V 1106 409 V 1105 409 V 1104 409 V 1103 409 V 75 w(e)p 1170 389 V 1170 389 V 1170 390 V 1170 390 V 1170 391 V 1170 391 V 1170 392 V 1170 392 V 1170 393 V 1170 393 V 1171 394 V 1171 394 V 1171 395 V 1171 395 V 1171 396 V 1171 396 V 1172 397 V 1172 397 V 1172 398 V 1172 398 V 1173 399 V 1173 399 V 1173 400 V 1173 400 V 1174 400 V 1174 401 V 1174 401 V 1175 402 V 1175 402 V 1176 403 V 1176 403 V 1176 403 V 1177 404 V 1177 404 V 1178 405 V 1178 405 V 1179 405 V 1179 406 V 1180 406 V 1180 407 V 1181 407 V 1181 407 V 1182 408 V 1183 408 V 1183 408 V 1184 409 V 1184 409 V 1185 409 V 1186 410 V 1186 410 V 1187 410 V 1188 411 V 1189 411 V 1189 411 V 1190 412 V 1191 412 V 1192 412 V 1192 413 V 1193 413 V 1194 413 V 1195 413 V 1195 413 V 1196 414 V 1196 414 V 1197 414 V 1198 415 V 1199 415 V 1199 415 V 1200 415 V 1201 416 V 1202 416 V 1202 416 V 1203 417 V 1204 417 V 1204 417 V 1205 418 V 1206 418 V 1206 418 V 1207 419 V 1207 419 V 1208 420 V 1209 420 V 1209 420 V 1210 421 V 1210 421 V 1211 421 V 1211 422 V 1212 422 V 1212 423 V 1213 423 V 1213 423 V 1213 424 V 1214 424 V 1214 425 V 1215 425 V 1215 425 V 1215 426 V 1216 426 V 1216 427 V 1216 427 V 1217 428 V 1217 428 V 1217 429 V 1217 429 V 1218 430 V 1218 430 V 1218 431 V 1218 431 V 1218 432 V 1219 432 V 1219 433 V 1219 433 V 1219 434 V 1219 434 V 1219 435 V 1219 435 V 1219 436 V 1220 436 V 1220 437 V 1220 437 V 1220 438 V 1220 438 V 1170 438 V 1170 438 V 1170 437 V 1170 436 V 1170 435 V 1170 434 V 1170 434 V 1170 433 V 1170 432 V 1171 431 V 1171 431 V 1171 430 V 1171 429 V 1172 429 V 1172 428 V 1172 428 V 1172 427 V 1173 426 V 1173 426 V 1174 425 V 1174 425 V 1174 424 V 1175 424 V 1175 423 V 1176 423 V 1176 422 V 1177 422 V 1177 422 V 1178 421 V 1179 421 V 1179 420 V 1180 420 V 1180 420 V 1181 419 V 1182 419 V 1183 419 V 1183 419 V 1184 418 V 1185 418 V 1186 418 V 1186 418 V 1220 389 V 1220 389 V 1220 390 V 1220 391 V 1219 392 V 1219 392 V 1219 393 V 1219 394 V 1219 395 V 1219 395 V 1219 396 V 1218 397 V 1218 397 V 1218 398 V 1218 399 V 1217 399 V 1217 400 V 1217 400 V 1216 401 V 1216 401 V 1215 402 V 1215 403 V 1215 403 V 1214 403 V 1214 404 V 1213 404 V 1213 405 V 1212 405 V 1211 406 V 1211 406 V 1210 406 V 1210 407 V 1209 407 V 1208 407 V 1208 408 V 1207 408 V 1206 408 V 1205 409 V 1205 409 V 1204 409 V 1203 409 V 1069 487 2 50 v 1120 438 2 2 v 1120 439 V 1120 439 V 1120 440 V 1120 441 V 1120 441 V 1120 442 V 1120 442 V 1120 443 V 1121 443 V 1121 444 V 1121 444 V 1121 445 V 1121 445 V 1121 446 V 1122 446 V 1122 447 V 1122 447 V 1122 448 V 1122 448 V 1123 448 V 1123 449 V 1123 449 V 1124 450 V 1124 450 V 1124 451 V 1125 451 V 1125 452 V 1125 452 V 1126 452 V 1126 453 V 1127 453 V 1127 454 V 1128 454 V 1128 454 V 1128 455 V 1129 455 V 1129 456 V 1130 456 V 1131 456 V 1131 457 V 1132 457 V 1132 458 V 1133 458 V 1133 458 V 1134 459 V 1135 459 V 1135 459 V 1136 460 V 1137 460 V 1137 460 V 1138 461 V 1139 461 V 1139 461 V 1140 461 V 1141 462 V 1142 462 V 1142 462 V 1143 463 V 1144 463 V 1145 463 V 1145 463 V 1146 464 V 1147 464 V 1147 464 V 1148 464 V 1149 465 V 1150 465 V 1150 465 V 1151 466 V 1152 466 V 1153 466 V 1153 467 V 1154 467 V 1155 467 V 1155 468 V 1156 468 V 1156 468 V 1157 469 V 1158 469 V 1158 469 V 1159 470 V 1159 470 V 1160 470 V 1160 471 V 1161 471 V 1161 472 V 1162 472 V 1162 472 V 1163 473 V 1163 473 V 1164 474 V 1164 474 V 1164 474 V 1165 475 V 1165 475 V 1165 476 V 1166 476 V 1166 477 V 1166 477 V 1167 478 V 1167 478 V 1167 478 V 1168 479 V 1168 479 V 1168 480 V 1168 480 V 1168 481 V 1169 481 V 1169 482 V 1169 482 V 1169 483 V 1169 483 V 1169 484 V 1169 484 V 1170 485 V 1170 485 V 1170 486 V 1170 486 V 1170 487 V 1170 488 V 1170 488 V 1120 488 V 1120 488 V 1120 487 V 1120 487 V 1120 486 V 1120 485 V 1120 485 V 1120 484 V 1120 484 V 1121 483 V 1121 483 V 1121 482 V 1121 482 V 1121 481 V 1121 481 V 1122 480 V 1122 480 V 1122 479 V 1122 479 V 1122 478 V 1123 478 V 1123 478 V 1123 477 V 1124 477 V 1124 476 V 1124 476 V 1125 475 V 1125 475 V 1125 474 V 1126 474 V 1126 474 V 1127 473 V 1127 473 V 1128 472 V 1128 472 V 1128 472 V 1129 471 V 1129 471 V 1130 470 V 1131 470 V 1131 470 V 1132 469 V 1132 469 V 1133 469 V 1133 468 V 1134 468 V 1135 468 V 1135 467 V 1136 467 V 1137 467 V 1137 466 V 1138 466 V 1139 466 V 1139 465 V 1140 465 V 1141 465 V 1142 464 V 1142 464 V 1143 464 V 1144 464 V 1145 463 V 1145 463 V 1146 463 V 1147 463 V 1147 462 V 1148 462 V 1149 462 V 1150 461 V 1150 461 V 1151 461 V 1152 461 V 1153 460 V 1153 460 V 1154 460 V 1155 459 V 1155 459 V 1156 459 V 1156 458 V 1157 458 V 1158 458 V 1158 457 V 1159 457 V 1159 456 V 1160 456 V 1160 456 V 1161 455 V 1161 455 V 1162 454 V 1162 454 V 1163 454 V 1163 453 V 1164 453 V 1164 452 V 1164 452 V 1165 452 V 1165 451 V 1165 451 V 1166 450 V 1166 450 V 1166 449 V 1167 449 V 1167 448 V 1167 448 V 1168 448 V 1168 447 V 1168 447 V 1168 446 V 1168 446 V 1169 445 V 1169 445 V 1169 444 V 1169 444 V 1169 443 V 1169 443 V 1169 442 V 1170 442 V 1170 441 V 1170 441 V 1170 440 V 1170 439 V 1170 439 V 1170 438 V 1219 487 2 50 v 1070 488 2 2 v 1070 489 V 1070 489 V 1070 490 V 1070 490 V 1070 491 V 1070 491 V 1071 492 V 1071 492 V 1071 493 V 1071 493 V 1071 494 V 1071 494 V 1071 495 V 1072 495 V 1072 496 V 1072 496 V 1072 497 V 1072 497 V 1073 498 V 1073 498 V 1073 499 V 1074 499 V 1074 500 V 1074 500 V 1075 501 V 1075 501 V 1075 501 V 1076 502 V 1076 502 V 1076 503 V 1077 503 V 1077 503 V 1078 504 V 1078 504 V 1079 505 V 1079 505 V 1080 505 V 1080 506 V 1081 506 V 1081 507 V 1082 507 V 1082 507 V 1083 508 V 1084 508 V 1084 508 V 1085 509 V 1085 509 V 1086 509 V 1087 510 V 1087 510 V 1088 510 V 1089 511 V 1090 511 V 1090 511 V 1091 512 V 1092 512 V 1093 512 V 1093 512 V 1094 513 V 1095 513 V 1095 513 V 1096 513 V 1097 514 V 1098 514 V 1098 514 V 1099 514 V 1100 515 V 1101 515 V 1101 515 V 1102 516 V 1103 516 V 1103 516 V 1104 517 V 1105 517 V 1105 517 V 1106 518 V 1107 518 V 1107 518 V 1108 519 V 1108 519 V 1109 520 V 1109 520 V 1110 520 V 1111 521 V 1111 521 V 1112 521 V 1112 522 V 1112 522 V 1113 523 V 1113 523 V 1114 523 V 1114 524 V 1115 524 V 1115 525 V 1115 525 V 1116 526 V 1116 526 V 1116 526 V 1117 527 V 1117 527 V 1117 528 V 1118 528 V 1118 529 V 1118 529 V 1118 530 V 1118 530 V 1119 531 V 1119 531 V 1119 532 V 1119 532 V 1119 533 V 1119 533 V 1120 534 V 1120 534 V 1120 535 V 1120 535 V 1120 536 V 1120 536 V 1120 537 V 1120 537 V 1120 538 V 1070 538 V 1070 537 V 1070 537 V 1070 536 V 1070 536 V 1070 535 V 1070 535 V 1071 534 V 1071 534 V 1071 533 V 1071 533 V 1071 532 V 1071 532 V 1071 531 V 1072 531 V 1072 530 V 1072 530 V 1072 529 V 1072 529 V 1073 528 V 1073 528 V 1073 527 V 1074 527 V 1074 526 V 1074 526 V 1075 526 V 1075 525 V 1075 525 V 1076 524 V 1076 524 V 1076 523 V 1077 523 V 1077 523 V 1078 522 V 1078 522 V 1079 521 V 1079 521 V 1080 521 V 1080 520 V 1081 520 V 1081 520 V 1082 519 V 1082 519 V 1083 518 V 1084 518 V 1084 518 V 1085 517 V 1085 517 V 1086 517 V 1087 516 V 1087 516 V 1088 516 V 1089 515 V 1090 515 V 1090 515 V 1091 514 V 1092 514 V 1093 514 V 1093 514 V 1094 513 V 1095 513 V 1095 513 V 1096 513 V 1097 512 V 1098 512 V 1098 512 V 1099 512 V 1100 511 V 1101 511 V 1101 511 V 1102 510 V 1103 510 V 1103 510 V 1104 509 V 1105 509 V 1105 509 V 1106 508 V 1107 508 V 1107 508 V 1108 507 V 1108 507 V 1109 507 V 1109 506 V 1110 506 V 1111 505 V 1111 505 V 1112 505 V 1112 504 V 1112 504 V 1113 503 V 1113 503 V 1114 503 V 1114 502 V 1115 502 V 1115 501 V 1115 501 V 1116 501 V 1116 500 V 1116 500 V 1117 499 V 1117 499 V 1117 498 V 1118 498 V 1118 497 V 1118 497 V 1118 496 V 1118 496 V 1119 495 V 1119 495 V 1119 494 V 1119 494 V 1119 493 V 1119 493 V 1120 492 V 1120 492 V 1120 491 V 1120 491 V 1120 490 V 1120 490 V 1120 489 V 1120 489 V 1120 488 V 1187 524 a Ff(r)p 1169 491 2 5 v 1169 537 V 1149 534 50 2 v 1149 492 V 1148 533 2 42 v 1219 491 2 5 v 1219 537 V 1191 534 50 2 v 1191 492 V 1240 533 2 42 v 1069 587 2 50 v 1120 538 2 2 v 1120 539 V 1120 539 V 1120 540 V 1120 540 V 1120 541 V 1120 541 V 1120 542 V 1120 542 V 1121 543 V 1121 543 V 1121 544 V 1121 544 V 1121 545 V 1121 545 V 1122 546 V 1122 546 V 1122 547 V 1122 547 V 1122 548 V 1123 548 V 1123 549 V 1123 549 V 1124 549 V 1124 550 V 1124 550 V 1125 551 V 1125 551 V 1125 552 V 1126 552 V 1126 552 V 1127 553 V 1127 553 V 1128 554 V 1128 554 V 1128 555 V 1129 555 V 1129 555 V 1130 556 V 1131 556 V 1131 556 V 1132 557 V 1132 557 V 1133 557 V 1133 558 V 1134 558 V 1135 559 V 1135 559 V 1136 559 V 1137 560 V 1137 560 V 1138 560 V 1139 561 V 1139 561 V 1140 561 V 1141 561 V 1142 562 V 1142 562 V 1143 562 V 1144 563 V 1145 563 V 1145 563 V 1146 563 V 1147 563 V 1147 564 V 1148 564 V 1149 564 V 1150 565 V 1150 565 V 1151 565 V 1152 566 V 1153 566 V 1153 566 V 1154 567 V 1155 567 V 1155 567 V 1156 568 V 1156 568 V 1157 568 V 1158 569 V 1158 569 V 1159 569 V 1159 570 V 1160 570 V 1160 570 V 1161 571 V 1161 571 V 1162 572 V 1162 572 V 1163 572 V 1163 573 V 1164 573 V 1164 574 V 1164 574 V 1165 575 V 1165 575 V 1165 575 V 1166 576 V 1166 576 V 1166 577 V 1167 577 V 1167 578 V 1167 578 V 1168 579 V 1168 579 V 1168 580 V 1168 580 V 1168 580 V 1169 581 V 1169 581 V 1169 582 V 1169 582 V 1169 583 V 1169 583 V 1169 584 V 1170 585 V 1170 585 V 1170 586 V 1170 586 V 1170 587 V 1170 587 V 1170 588 V 1120 588 V 1120 587 V 1120 587 V 1120 586 V 1120 586 V 1120 585 V 1120 585 V 1120 584 V 1120 583 V 1121 583 V 1121 582 V 1121 582 V 1121 581 V 1121 581 V 1121 580 V 1122 580 V 1122 580 V 1122 579 V 1122 579 V 1122 578 V 1123 578 V 1123 577 V 1123 577 V 1124 576 V 1124 576 V 1124 575 V 1125 575 V 1125 575 V 1125 574 V 1126 574 V 1126 573 V 1127 573 V 1127 572 V 1128 572 V 1128 572 V 1128 571 V 1129 571 V 1129 570 V 1130 570 V 1131 570 V 1131 569 V 1132 569 V 1132 569 V 1133 568 V 1133 568 V 1134 568 V 1135 567 V 1135 567 V 1136 567 V 1137 566 V 1137 566 V 1138 566 V 1139 565 V 1139 565 V 1140 565 V 1141 564 V 1142 564 V 1142 564 V 1143 563 V 1144 563 V 1145 563 V 1145 563 V 1146 563 V 1147 562 V 1147 562 V 1148 562 V 1149 561 V 1150 561 V 1150 561 V 1151 561 V 1152 560 V 1153 560 V 1153 560 V 1154 559 V 1155 559 V 1155 559 V 1156 558 V 1156 558 V 1157 557 V 1158 557 V 1158 557 V 1159 556 V 1159 556 V 1160 556 V 1160 555 V 1161 555 V 1161 555 V 1162 554 V 1162 554 V 1163 553 V 1163 553 V 1164 552 V 1164 552 V 1164 552 V 1165 551 V 1165 551 V 1165 550 V 1166 550 V 1166 549 V 1166 549 V 1167 549 V 1167 548 V 1167 548 V 1168 547 V 1168 547 V 1168 546 V 1168 546 V 1168 545 V 1169 545 V 1169 544 V 1169 544 V 1169 543 V 1169 543 V 1169 542 V 1169 542 V 1170 541 V 1170 541 V 1170 540 V 1170 540 V 1170 539 V 1170 539 V 1170 538 V 1219 587 2 50 v 1069 599 2 13 v 1069 626 a Fa(\012)p 1118 599 V -1 w(\011)p 1094 637 V 1168 599 V(\012)p 1218 599 V(\011)p 1194 637 V 1074 687 a Fj(H)h(H)p 1045 638 200 2 v 1261 424 a(:)95 774 y Fl(4.)23 b Fj(\034)e Fl(is)16 b(c)n(omp)n(atible)g(with)h(tensor)f(pr)n(o)n(ducts)g(or)h(e)n (quivalently)p 380 936 150 2 v 384 919 a Fj(K)11 b(K)g(K)p 404 985 2 50 v 453 948 2 13 v 453 975 a Fa(\012)p 503 948 V(\011)p 479 985 V 405 986 2 2 v 405 987 V 405 987 V 405 988 V 405 988 V 405 989 V 406 989 V 406 990 V 406 990 V 406 991 V 406 992 V 406 992 V 406 993 V 406 993 V 407 993 V 407 994 V 407 994 V 407 995 V 408 995 V 408 996 V 408 996 V 408 997 V 409 997 V 409 998 V 409 998 V 410 999 V 410 999 V 410 999 V 411 1000 V 411 1000 V 411 1001 V 412 1001 V 412 1002 V 413 1002 V 413 1002 V 414 1003 V 414 1003 V 415 1004 V 415 1004 V 416 1004 V 416 1005 V 417 1005 V 417 1005 V 418 1006 V 419 1006 V 419 1006 V 420 1007 V 421 1007 V 421 1007 V 422 1008 V 423 1008 V 423 1008 V 424 1009 V 425 1009 V 425 1009 V 426 1010 V 427 1010 V 428 1010 V 429 1011 V 429 1011 V 430 1011 V 430 1011 V 431 1011 V 432 1012 V 433 1012 V 433 1012 V 434 1013 V 435 1013 V 436 1013 V 436 1013 V 437 1014 V 438 1014 V 438 1014 V 439 1015 V 440 1015 V 440 1015 V 441 1016 V 442 1016 V 442 1016 V 443 1017 V 443 1017 V 444 1018 V 445 1018 V 445 1018 V 446 1019 V 446 1019 V 447 1019 V 447 1020 V 448 1020 V 448 1021 V 448 1021 V 449 1021 V 449 1022 V 450 1022 V 450 1023 V 450 1023 V 451 1024 V 451 1024 V 451 1025 V 452 1025 V 452 1025 V 452 1026 V 453 1026 V 453 1027 V 453 1027 V 453 1028 V 454 1028 V 454 1029 V 454 1029 V 454 1030 V 454 1030 V 454 1031 V 455 1031 V 455 1032 V 455 1032 V 455 1033 V 455 1033 V 455 1034 V 455 1034 V 455 1035 V 455 1035 V 455 1036 V 480 986 V 480 987 V 480 988 V 480 989 V 480 989 V 480 990 V 480 991 V 480 992 V 480 993 V 481 993 V 481 994 V 481 995 V 481 995 V 481 996 V 482 997 V 482 997 V 482 998 V 482 999 V 483 999 V 483 1000 V 483 1001 V 483 1001 V 484 1002 V 484 1003 V 484 1003 V 485 1004 V 485 1004 V 486 1005 V 486 1005 V 487 1006 V 487 1006 V 487 1007 V 488 1007 V 488 1008 V 489 1008 V 490 1009 V 490 1009 V 491 1010 V 491 1010 V 492 1011 V 492 1011 V 492 1011 V 493 1012 V 494 1012 V 494 1012 V 495 1013 V 495 1013 V 496 1014 V 496 1014 V 497 1015 V 497 1015 V 498 1016 V 498 1016 V 499 1017 V 499 1017 V 500 1018 V 500 1019 V 500 1019 V 501 1020 V 501 1020 V 501 1021 V 502 1021 V 502 1022 V 502 1023 V 503 1023 V 503 1024 V 503 1025 V 503 1025 V 504 1026 V 504 1027 V 504 1028 V 504 1028 V 504 1029 V 504 1030 V 505 1030 V 505 1031 V 505 1032 V 505 1033 V 505 1034 V 505 1034 V 505 1035 V 505 1036 V 472 1071 a Ff(r)p 454 1039 2 5 v 454 1085 V 434 1082 50 2 v 434 1040 V 433 1081 2 42 v 504 1039 2 5 v 504 1085 V 476 1082 50 2 v 476 1040 V 525 1081 2 42 v 455 1086 2 2 v 455 1087 V 455 1087 V 455 1088 V 455 1089 V 455 1090 V 455 1091 V 455 1091 V 455 1092 V 454 1093 V 454 1094 V 454 1094 V 454 1095 V 454 1096 V 454 1096 V 453 1097 V 453 1098 V 453 1098 V 453 1099 V 452 1100 V 452 1100 V 452 1101 V 451 1102 V 451 1102 V 451 1103 V 450 1103 V 450 1104 V 449 1104 V 449 1105 V 449 1106 V 448 1106 V 448 1107 V 447 1107 V 447 1108 V 446 1108 V 446 1109 V 445 1109 V 444 1109 V 444 1110 V 443 1110 V 443 1111 V 443 1111 V 442 1111 V 441 1112 V 441 1112 V 440 1112 V 440 1113 V 439 1113 V 439 1114 V 438 1114 V 438 1115 V 437 1115 V 437 1116 V 436 1116 V 436 1117 V 435 1118 V 435 1118 V 435 1119 V 434 1119 V 434 1120 V 434 1120 V 433 1121 V 433 1122 V 433 1122 V 432 1123 V 432 1124 V 432 1124 V 432 1125 V 431 1126 V 431 1126 V 431 1127 V 431 1128 V 431 1129 V 431 1129 V 431 1130 V 430 1131 V 430 1132 V 430 1132 V 430 1133 V 430 1134 V 430 1135 V 430 1136 V 504 1185 2 100 v 404 1149 a Fa(\013)p 404 1185 2 13 v -1 w(\010)p 453 1185 V 429 1147 V 385 1234 a Fj(H)g(H)h(H)p 380 1185 150 2 v 542 1071 a Fm(=)p 590 887 200 2 v 619 869 a Fj(K)36 b(K)11 b(K)614 900 y Fa(\013)p 614 936 2 13 v -1 w(\010)p 663 936 V 639 898 V 714 936 2 50 v 764 1085 2 200 v 614 985 2 50 v 682 972 a Ff(r)p 664 940 2 5 v 664 985 V 644 982 50 2 v 644 941 V 644 981 2 42 v 714 940 2 5 v 714 985 V 686 982 50 2 v 686 941 V 735 981 2 42 v 615 986 2 2 v 615 987 V 615 987 V 615 988 V 615 988 V 615 989 V 616 989 V 616 990 V 616 990 V 616 991 V 616 992 V 616 992 V 616 993 V 616 993 V 617 993 V 617 994 V 617 994 V 617 995 V 618 995 V 618 996 V 618 996 V 618 997 V 619 997 V 619 998 V 619 998 V 620 999 V 620 999 V 620 999 V 621 1000 V 621 1000 V 622 1001 V 622 1001 V 622 1002 V 623 1002 V 623 1002 V 624 1003 V 624 1003 V 625 1004 V 625 1004 V 626 1004 V 626 1005 V 627 1005 V 628 1005 V 628 1006 V 629 1006 V 629 1006 V 630 1007 V 631 1007 V 631 1007 V 632 1008 V 633 1008 V 633 1008 V 634 1009 V 635 1009 V 635 1009 V 636 1010 V 637 1010 V 638 1010 V 639 1011 V 639 1011 V 640 1011 V 640 1011 V 641 1011 V 642 1012 V 643 1012 V 643 1012 V 644 1013 V 645 1013 V 646 1013 V 646 1013 V 647 1014 V 648 1014 V 649 1014 V 649 1015 V 650 1015 V 650 1015 V 651 1016 V 652 1016 V 652 1016 V 653 1017 V 653 1017 V 654 1018 V 655 1018 V 655 1018 V 656 1019 V 656 1019 V 657 1019 V 657 1020 V 658 1020 V 658 1021 V 658 1021 V 659 1021 V 659 1022 V 660 1022 V 660 1023 V 660 1023 V 661 1024 V 661 1024 V 661 1025 V 662 1025 V 662 1025 V 662 1026 V 663 1026 V 663 1027 V 663 1027 V 663 1028 V 664 1028 V 664 1029 V 664 1029 V 664 1030 V 664 1030 V 664 1031 V 665 1031 V 665 1032 V 665 1032 V 665 1033 V 665 1033 V 665 1034 V 665 1034 V 665 1035 V 665 1035 V 665 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1156 1029 V 1156 1030 V 1156 1030 V 1155 1031 V 1155 1031 V 1155 1032 V 1155 1032 V 1155 1033 V 1155 1033 V 1155 1034 V 1155 1034 V 1155 1035 V 1155 1035 V 1155 1036 V 1122 1071 a Ff(r)p 1104 1039 2 5 v 1104 1085 V 1084 1082 50 2 v 1084 1040 V 1083 1081 2 42 v 1154 1039 2 5 v 1154 1085 V 1126 1082 50 2 v 1126 1040 V 1175 1081 2 42 v 1104 1185 2 100 v 1155 1086 2 2 v 1155 1087 V 1155 1087 V 1155 1088 V 1155 1089 V 1155 1090 V 1155 1091 V 1155 1091 V 1155 1092 V 1155 1093 V 1156 1094 V 1156 1094 V 1156 1095 V 1156 1096 V 1156 1096 V 1157 1097 V 1157 1098 V 1157 1098 V 1157 1099 V 1158 1100 V 1158 1100 V 1158 1101 V 1159 1102 V 1159 1102 V 1159 1103 V 1160 1103 V 1160 1104 V 1160 1104 V 1161 1105 V 1161 1106 V 1162 1106 V 1162 1107 V 1163 1107 V 1163 1108 V 1164 1108 V 1164 1109 V 1165 1109 V 1165 1109 V 1166 1110 V 1167 1110 V 1167 1111 V 1167 1111 V 1168 1111 V 1168 1112 V 1169 1112 V 1170 1112 V 1170 1113 V 1171 1113 V 1171 1114 V 1172 1114 V 1172 1115 V 1173 1115 V 1173 1116 V 1174 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1365 1085 V 1365 1084 V 1365 1083 V 1365 1083 V 1365 1082 V 1365 1081 V 1365 1080 V 1365 1080 V 1366 1079 V 1366 1078 V 1366 1078 V 1366 1077 V 1367 1076 V 1367 1076 V 1367 1075 V 1367 1075 V 1368 1074 V 1368 1073 V 1369 1073 V 1369 1072 V 1369 1072 V 1370 1071 V 1370 1071 V 1371 1070 V 1371 1070 V 1372 1070 V 1372 1069 V 1373 1069 V 1374 1068 V 1374 1068 V 1375 1068 V 1375 1067 V 1376 1067 V 1377 1067 V 1378 1066 V 1378 1066 V 1379 1066 V 1380 1066 V 1381 1065 V 1381 1065 V 1415 1036 V 1415 1037 V 1415 1038 V 1415 1038 V 1414 1039 V 1414 1040 V 1414 1041 V 1414 1041 V 1414 1042 V 1414 1043 V 1414 1044 V 1413 1044 V 1413 1045 V 1413 1045 V 1413 1046 V 1412 1047 V 1412 1047 V 1412 1048 V 1411 1048 V 1411 1049 V 1410 1050 V 1410 1050 V 1410 1051 V 1409 1051 V 1409 1051 V 1408 1052 V 1408 1052 V 1407 1053 V 1407 1053 V 1406 1054 V 1405 1054 V 1405 1054 V 1404 1055 V 1403 1055 V 1403 1055 V 1402 1056 V 1401 1056 V 1400 1056 V 1400 1056 V 1399 1057 V 1398 1057 V 1464 1234 2 200 v 1315 1086 2 2 v 1315 1086 V 1315 1087 V 1315 1087 V 1315 1088 V 1315 1089 V 1315 1089 V 1315 1090 V 1315 1090 V 1316 1091 V 1316 1091 V 1316 1092 V 1316 1092 V 1316 1093 V 1316 1093 V 1317 1094 V 1317 1094 V 1317 1095 V 1317 1095 V 1318 1096 V 1318 1096 V 1318 1096 V 1318 1097 V 1319 1097 V 1319 1098 V 1319 1098 V 1320 1099 V 1320 1099 V 1320 1100 V 1321 1100 V 1321 1100 V 1322 1101 V 1322 1101 V 1323 1102 V 1323 1102 V 1323 1102 V 1324 1103 V 1324 1103 V 1325 1104 V 1326 1104 V 1326 1104 V 1327 1105 V 1327 1105 V 1328 1105 V 1328 1106 V 1329 1106 V 1330 1106 V 1330 1107 V 1331 1107 V 1332 1107 V 1332 1108 V 1333 1108 V 1334 1108 V 1334 1109 V 1335 1109 V 1336 1109 V 1337 1110 V 1337 1110 V 1338 1110 V 1339 1110 V 1340 1111 V 1340 1111 V 1341 1111 V 1342 1111 V 1342 1112 V 1343 1112 V 1344 1112 V 1345 1112 V 1345 1113 V 1346 1113 V 1347 1113 V 1348 1114 V 1348 1114 V 1349 1114 V 1350 1115 V 1350 1115 V 1351 1115 V 1351 1116 V 1352 1116 V 1353 1116 V 1353 1117 V 1354 1117 V 1354 1118 V 1355 1118 V 1355 1118 V 1356 1119 V 1356 1119 V 1357 1119 V 1357 1120 V 1358 1120 V 1358 1121 V 1359 1121 V 1359 1122 V 1359 1122 V 1360 1122 V 1360 1123 V 1361 1123 V 1361 1124 V 1361 1124 V 1361 1125 V 1362 1125 V 1362 1125 V 1362 1126 V 1363 1126 V 1363 1127 V 1363 1127 V 1363 1128 V 1363 1128 V 1364 1129 V 1364 1129 V 1364 1130 V 1364 1130 V 1364 1131 V 1364 1131 V 1364 1132 V 1365 1132 V 1365 1133 V 1365 1133 V 1365 1134 V 1365 1135 V 1365 1135 V 1365 1136 V 1315 1136 V 1315 1135 V 1315 1135 V 1315 1134 V 1315 1133 V 1315 1133 V 1315 1132 V 1315 1132 V 1315 1131 V 1316 1131 V 1316 1130 V 1316 1130 V 1316 1129 V 1316 1129 V 1316 1128 V 1317 1128 V 1317 1127 V 1317 1127 V 1317 1126 V 1318 1126 V 1318 1125 V 1318 1125 V 1318 1125 V 1319 1124 V 1319 1124 V 1319 1123 V 1320 1123 V 1320 1122 V 1320 1122 V 1321 1122 V 1321 1121 V 1322 1121 V 1322 1120 V 1323 1120 V 1323 1119 V 1323 1119 V 1324 1119 V 1324 1118 V 1325 1118 V 1326 1118 V 1326 1117 V 1327 1117 V 1327 1116 V 1328 1116 V 1328 1116 V 1329 1115 V 1330 1115 V 1330 1115 V 1331 1114 V 1332 1114 V 1332 1114 V 1333 1113 V 1334 1113 V 1334 1113 V 1335 1112 V 1336 1112 V 1337 1112 V 1337 1112 V 1338 1111 V 1339 1111 V 1340 1111 V 1340 1111 V 1341 1110 V 1342 1110 V 1342 1110 V 1343 1110 V 1344 1109 V 1345 1109 V 1345 1109 V 1346 1108 V 1347 1108 V 1348 1108 V 1348 1107 V 1349 1107 V 1350 1107 V 1350 1106 V 1351 1106 V 1351 1106 V 1352 1105 V 1353 1105 V 1353 1105 V 1354 1104 V 1354 1104 V 1355 1104 V 1355 1103 V 1356 1103 V 1356 1102 V 1357 1102 V 1357 1102 V 1358 1101 V 1358 1101 V 1359 1100 V 1359 1100 V 1359 1100 V 1360 1099 V 1360 1099 V 1361 1098 V 1361 1098 V 1361 1097 V 1361 1097 V 1362 1096 V 1362 1096 V 1362 1096 V 1363 1095 V 1363 1095 V 1363 1094 V 1363 1094 V 1363 1093 V 1364 1093 V 1364 1092 V 1364 1092 V 1364 1091 V 1364 1091 V 1364 1090 V 1364 1090 V 1365 1089 V 1365 1089 V 1365 1088 V 1365 1087 V 1365 1087 V 1365 1086 V 1365 1086 V 1414 1135 2 50 v 1314 1185 V 1382 1171 a Ff(r)p 1364 1139 2 5 v 1364 1185 V 1344 1181 50 2 v 1344 1140 V 1343 1180 2 42 v 1414 1139 2 5 v 1414 1185 V 1386 1181 50 2 v 1386 1140 V 1435 1180 2 42 v 1313 1197 2 13 v 1313 1224 a Fa(\012)p 1363 1197 V(\011)p 1339 1234 V 1414 1234 2 50 v 1319 1284 a Fj(H)h(H)12 b(H)p 1290 1235 200 2 v 1506 1071 a(:)42 1405 y Fn(References)64 1508 y Fm([1])22 b(Brzezinski,)16 b(T.:)j Fh(On)c(Mo)q(dules)h(asso)q(ciated)e(to)g (Coalgebra)g(Galois)h(Extensions.)g Fm(Preprin)o(t,)135 1565 y(q-alg/9712023)e Fi(1998)p Fm(.)64 1663 y([2])22 b(Brzezinski,)c(T.)d(and)h(Ha)s(jac)f(P)l(.M.:)20 b Fh(Coalgebra)15 b(Extensions)i(and)f(Algebra)g(Co)q(extensions)135 1719 y(of)f(Galois)g(T)o(yp)q(e.)g Fm(Preprin)o(t,)g(q-alg/9708010)e Fi(1998)p Fm(.)64 1818 y([3])22 b(Drinfeld,)16 b(V.)f(G.:)k Fh(Quan)o(tum)c(groups.)g Fm(In)h(ICM)f(Pro)q(ceedings)h(Berk)o(eley)l (,)g(1986.)64 1916 y([4])22 b(Hobst,)14 b(D.)h(and)g(P)o(areigis,)g (B.:)20 b Fh(Double)c(Quan)o(tum)f(Groups.)g Fm(Preprin)o(t)g(\(30)f (p.\))h Fi(2000)p Fm(.)64 2014 y([5])22 b(Jo)o(y)o(al,)e(A.)f(and)h (Street,)g(R.:)29 b Fh(The)20 b(Geometry)e(of)h(T)l(ensor)h(Calculus,)i (I.)d Fm(Adv.)h(Math.)e(88)135 2070 y(\(55-112\))13 b Fi(1991)p Fm(.)64 2169 y([6])22 b(Manin,)d(Y.:)25 b Fh(Quan)o(tum)18 b(Groups)g(and)g(Noncomm)o(utativ)o(e)g(Geometry)l(.)f Fm(Les)h(publications)135 2225 y(CRM,)d(Univ)o(ersit)o(\023)-21 b(e)15 b(de)h(Mon)o(tr)o(\023)-21 b(eal,)13 b(1988.)64 2323 y([7])22 b(Mon)o(tgomery)l(,)c(S.:)26 b Fh(Hopf)19 b(Algebras)g(and)g(their)g(Actions)g(on)f(Rings)i Fm(Amer.)e(Math.)g (So)q(c.,)135 2380 y(Pro)o(vidence,)e(RI)g Fi(1993)p Fm(.)64 2478 y([8])22 b(P)o(areigis,)15 b(B.:)k Fh(Endomorphism)c (Bialgebras)h(of)e(Diagrams)g(and)h(of)f(Noncomm)o(utativ)o(e)h(Al-)135 2534 y(gebras)j(and)i(Spaces.)f Fm(In:)28 b(Adv)m(ances)20 b(in)f(Hopf)g(Algebras.)g(Lecture)h(Notes)e(in)i(Pure)f(and)135 2591 y(Applied)e(Mathematics)e(158.)f(Marcel)h(Dekk)o(er,)g(1994,)f (153-186.)64 2689 y([9])22 b(P)o(areigis,)17 b(B.:)22 b Fh(Non-additiv)o(e)c(Ring)g(and)e(Mo)q(dule)i(Theory)e(I)q(I.)h Fk(C)s Fh(-categories,)f Fk(C)s Fh(-functors,)135 2746 y(and)f Fk(C)s Fh(-morphisms.)g Fm(Publ.)h(Math.)e(Debrecen)i(24)f (\(351-361\))e Fi(1977)p Fm(.)p eop %%Page: 12 12 12 11 bop 116 -75 a Fm(12)1381 b Fh(Bo)q(do)15 b(P)o(areigis)116 75 y Fm([10])22 b(P)o(areigis,)12 b(B.:)17 b Fh(Reconstruction)12 b(of)f(Hidden)i(Symmetries.)e Fm(J.)g(Algebra)g(183)g(\(90-154\))e Fi(1996)p Fm(.)116 169 y([11])22 b(P)o(areigis,)i(B.)e(and)g (Sommerh\177)-23 b(auser,)24 b(Y.:)34 b Fh(Graphic)23 b(Calculus)h(of)e(Braided)h(Categories.)210 225 y Fm(Preprin)o(t)15 b Fi(1999)p Fm(.)116 319 y([12])22 b(P)o(enrose,)e(R.:)29 b Fh(Applications)22 b(of)d(Negativ)o(e)h(Dimensional)h(T)l(ensors.)e Fm(In:)30 b(Com)o(binatorial)210 375 y(Mathematics)14 b(and)i(its)f(Applications.)i(Academic)f(Press.)f(\(221-244\))e Fi(1971)p Fm(.)116 469 y([13])22 b(T)l(am)o(bara,)d(D.:)28 b Fh(The)20 b(co)q(endomorphism)g(bialgebra)h(of)e(an)h(algebra.)f Fm(J.)g(F)l(ac.)g(Sci.)i(Univ.)210 526 y(T)l(oky)o(o)14 b(37,)g(1990,)g(425-456.)116 619 y([14])22 b(T)l(ak)o(euc)o(hi,)15 b(M.:)k(F)l(ree)c(Hopf)h(Algebras)f(generated)g(b)o(y)g(Coalgebras.)g (J.)g(Math.)f(So)q(c.)h(Japan)210 676 y(23,)f(No.4,)g(1971.)116 770 y([15])22 b(Y)l(etter,)g(D.)e(N.:)31 b Fh(Quan)o(tum)21 b(Groups)g(and)g(Represen)o(tations)h(of)e(Monoidal)i(Categories.)210 826 y Fm(Math.)14 b(Pro)q(c.)g(Cam)o(b.)h(Phil.)h(So)q(c.)f(108)f(No.)h (2)g(\(261-290\))e Fi(1990)p Fm(.)p eop %%Trailer end userdict /end-hook known{end-hook}if %%EOF