; TeX output 2004.02.03:0600iӍ:-iӍLmDtGGcmr17Quanqtum7tGroups{TheFVunctorialSideoݍdXQ cmr12BoSdoPrareigisݍSeptemrbSer21,2000(|"V cmbx10AbstractOK4`K`y cmr10QuantumgroupscanbGeintroGducedinvqariousways.lW*eusetheirfunctorial %`constructionasautomorphismgroupsofnoncommutativespaces./Thisconstruc-%`tionCshowsinparticularwhyquantumgroupsshouldnotbGeconsideredasgroups%`inUUthecategoricalsense. 4`Thelinearrepresentationsofanordinarygroupformasymmetricmonoidal%`category*.Because!oftheirnoncommutativity!quantumgroupsdonothavethis%`symmetryofthetensorproGductofrepresentations.BLInmanycases,_however,itcan%`bGereplacedbyabraiding,#.forexampleinthecategoryofY*etter-Drinfeldmodules%`orUUofmoGdulesoverUUaquasitriangularHopfalgebra.4`AԍgeneralizationԮofthede nitionofY*etter-DrinfeldmoGdulesleadstoacate-%`gorical!riddle:Qanexampleofauniversal-couniversal!problem,!thatisde nedbya%`simultaneousUUunitandcounit." Nff cmbx12Intros3ductionw{ K`y 3 cmr10In\]thissurv!eypapMerwewanttogiveanintroMductiontoquantumgroupsusinga functorialZJconstruction.Itisw!ellknowntothespMecialiststhatquantumgroupsare not(^groupsinacategorye.cWe(^discussho!wclosetheyaretocategoricalgroups.This sligh!t(fgeneralizationleadstoanunusualbMehavioroftheirrepresentations. cTeoget asimilarrepresen!tationtheoryasforgroupsoneimpMosesabraidstructureonthe category 3 cmmi10;1"V 3 cmbx10C).FeorU2examplestate5sppacesU2inph!ysicsaredescribMedbytheiralgebrpa ofobservables.UnderǢsuitableassumptionsthisleadstoadualit!ybMetweenthecategoryC31*iӍ:-2R "p0J 3 cmsl10BoMdofP!areigisiӍ|-ofigeometricspacesandofcomm!utativeialgebras.ɕFeamousexamplesarethedualit!yof theJxGelfand-NaimarkTheoremandthedualit!ybMetweenanealgebraicmanifoldsand nitelyfgeneratedcomm!utativefalgebras.%mQuan!tumF^theoryforcesustoconsidernoncommutativealgebrasas\functionalge-bras"fofnoncpommutativegeometricspacesforquantumsppaces.Th!usfwede neHDe nition21.1(Manin[6K])iֹTheAcpategoryKaofquantumsppacesorofnoncommutativesppacesZisthedualofthecategoryofnoncomm!utativeZ(notnecessarilycomm!utative)algebras.%mThisde nitionshouldbMesucien!tforacategoricalmindedreader.ButsomehowoneisqmissingthecorrespMondinggeometricstructures.Thereha!veqbeensev!eralattemptstofmak!egeometricstructuresvisible.Oneofthesimplestisthefollowing.%mThecategoryofquan!tumspacescanbMeidenti edwiththecategoryofcovdDariantrep-resen!table functorsonthecategoryAlgofnotnecessarilycommutativealgebras.DThusaÓquantumsppaceX^ withgiv!enfunctionalgebraAcanbMeviewedastherepresentablefunctorfXw(B) :=AlgS(A;1B).Thefelemen!tsofXw(B)arecalledtheB-ppointsofXw.%mThesesetsXw(B)canbMeconsideredasareplacemen!tforageometricspaceassociatedwithfthefunctionalgebraA.IndeedifAisrepresen!tedasHA =kX?hxz|{Ycmr81;1xz2;:::i=(pz1(xz2cmmi8idڹ);pz2(xzidڹ);:::);aNresidueclassalgebraofthenoncomm!utativeNpMolynomialring(freealgebra)onthe vdDariablesxz1;1xz2;:::,theneac!hB-pMointf8c: A;I!9%B(BisdescribMedbythevdDaluesbz1;1bz2;:::(withWbzio:= f-(xzidڹ))thatarezerosofthepMolynomialspz1(xzi);1pz2(xzi);1:::.ÑSoWXw(B)canbMeconsidered)jasthesetofzerosofcertainnoncomm!utative)jpMolynomialswithcoordinatesinfB.%mWee!w!anttoconstructgroupsinthecategoryofquantumspaces.OFeorthispurpMosew!eneedtoknowthe\proMduct"oftwoquantumspaces.TherearevdDariousreasonsbased;inph!ysicsaswellasinalgebranottousethecategoricalproMduct.FWeeintroMduceaproMductthatism!uch\smaller"thanthecategoricalproduct.yQuantumgrpoupswillbMefde nedwithrespecttothissmallerproduct.De nition21.2l^1LetxUX̹andY^ѹbMequan!tumspaces.SThentheirorthopgonal productxUisde nedfb!y&.ģ(X? Y|)(B):= =*fClĹ(;1Թ) 2Xw(B)nY|(B)1j8a 2OM޹(Xw);1aK cmsy802O(Y|): (a)Թ(a09)=(a09)(a)bg+:JThe.0B-pMoin!ts'andarecalledcpommuting|Rpoints.(The.0imagesofthefunctionsandu:infB3 comm!ute.)%mThextfunctorX?fY^isarepresen!tablefunctorandthusaquantumspacewithrepresen!tingyalgebraOM޹(Xw) O(Y|).Theyorthogonalproductde nesthestructureofamonoidalfcategoryonthecategoryofquan!tumspaces.%mWeew!anttode neanautomorphismgroupforaquantumspaceXw,inthecategoryofquan!tumspaces. ThatmeansthegrouptobMeconstructedshouldliveinthecategoryof{quan!tumspacesandshouldactinasuitablewayonanotherquantumspace.FeorallQconsiderationsw!eusetheorthogonalproMductinsteadofthecategoricalproduct.WeebMeginwiththenotionofanactionofonequan!tumspaceMonanotherquantumspacefXw.iӍ:- Quan!tumfGroups{TheFeunctorialSideڪ3iӍ|- De nition21.3Z^1Letn`X׹andMbMequan!tumspaces.5An-(left)actionofMonXisa morphismf :M?X!ӜXw. mAnhaction :M?X!ӜXishcalledauniversalactionifforev!eryaction: ZX?X 0!XOthereisauniquefactorizationf:Z%!,Msuc!hthatthefollowingdiagram comm!utes:1EЍ ZX? XVVtfeVO line10?Uf?1UM ?XU~EXP32fd# ά-i9čC⍂Q8,QQQ浞VQ浞VsT:RmܹIt3isanopMenquestionunderwhic!hgeneralconditionsonX͖suchuniversalactions exist.Butfw!ehavethefollowing' Theorem21.4(T\amtbara[13 ])7LpetFXobeaquantumspacewith nitedimensional rpepresentingalgebraA.aThenthereexistsauniversalactionofaquantumspaceonXw.mܹAuniv!ersalactionpMerformsasurprisinglittlemagic.%Itturnsoutthatauniversal action^automaticallycarriesanaturalstructureofamonoidandthatthisstructure comes$ insuc!hawaythattheactiononthequantumspaceXisamonoidactioni.e.it ishassoMciativ!ewithunit.[Feurthermorethemonoidstructureandthemonoidactionare de ned\withrespMecttotheorthogonalproduct,Ynotwithrespecttothecategorical proMduct.' PropYosition21.5cLpet :M?X y!UX3=beauniversalaction.ThenMisinaunique wayamonoidinthemonoidalcpategoryofquantumsppaceswithtensorprpoduct?such thatitactsonXabyamonoidaction(assopciativewithunit).mSketchsofprpoof:The;9proMofisactuallyquitesimple.WWeegiv!eonlythede nitionof thefm!ultiplicationofthemonoid.ThecommutativediagramDO9Vtfe,V?#?idUM ?XUAXڞ32fd9@ά-i]MM ?M?X$IM ?X֟lfdLά-=id?9 Vtfe >V?޿` de nes[b!ytheuniversalpropMertyoftheactionauniquemorphism :M?M;I!9%M. FeorTfthism!ultiplicationofMtheactionbMecomesassociativ!ebythesamediagram.ˆWee lea!veftherestoftheproMoftothereader.Acompleteproofcanbefoundin[8y].ݟff̟ffffffff̎=mTh!usMcanbMeconsideredastheendomorphismmonoidofXw. JDItiscalledthe quantumJsendomorphismmonoid>ofXw.fItturnsouttosatisfyanadditionaluniv!ersal propMert!ye,fitistheuniversalmonoidactingonX@ݹbyamonoidaction.' Remark21.6OlTheWuniv!ersalactionandthemonoidstructureofMtranslatesback in!totherepresentingalgebrasasauniversalalgebrahomomorphismAWU!=B. ZA, thestructureofabialgebrpaonB+(algebrapluscoalgebrapluscompatibilit!y)andthe structureofaB-cpomodule+algebraonAthroughthealgebrahomomorphismAOT! B\ yA.YIn7:particularev!ery nitedimensionalalgebraAhasauniversalbialgebraB thatfmak!esAintoaB-comoMdulealgebra. oiӍ:-4R BoMdofP!areigisiӍ|-%mܹTh!usbwehaveachievedpartofourtaskto ndaquantumautomorphismgroupofa quan!tumspace.Inthesimplestsettheoreticsituationwewouldnowhavetocollectthein!vertible{endomorphismsofXVandw!ewouldthenobtaintheautomorphismgroupwithallitsuniv!ersalpropMerties.jButpickingelementsinMandcheckingforinvertibilityis$ notquitetherigh!twayinthesituationofquantumspaces.VSowewillbMelookingforNsubmonoidsAofMthatha!veNsomethinglik!ean\invert"functionS9: A;I!9%ANandhopMefullyfpic!kthebestsuc!hsubmonoid.%mSince]areasonablein!verse]functionSF(:A8!mA]doMesnotexistformostquan!tummonoidsb6(itcannotexistifthequan!tummonoidisapropMernoncommutativespace,i.Ae.thefunctionalgebraisnoncomm!utativeAandifthem!ultiplicationofthequantummonoid#isalsononcomm!utative)#wehavetogotothecorrespMondingfunctionalgebras.Andthere,indeed,w!emay ndaninversefunctionS!:`Hd!!XHjcthatbMehavesverym!uch(likeforminginversesinagroup. e5Theproblemisthatthisinversefunction,usually#calledtheantippode,C is#onlyalinearmapandnotanalgebrahomomorphism.Weefde nethein!verseforan!tipModefby3эDe nition21.7l^1AbialgebraH▹iscalledaHopf;I{(PBљmfdfe HѸNfdfe Rڄfdfe ^E*fdfe j2fdfe wן0fdfe NYfdfe џkvfdfe ҈\fdfe GҤfdfe ;fdfe Hfdfe @fdfe _rfdfe A/fdfe *Jxfdfe Aefdfe YZfdfe qjәlfdfe ӳ6fdfe ̙fdfe g҄fdfe ;fdfe ɟJfdfe 1/fdfe 3sGfdfe R_mfdfe rv΄fdfe |Ԏ fdfe 'ԥfdfe ׬Իfdfe 5fdfe oބfdfe Dfdfe jq>fdfe 9(Tfdfe =Ofdfe ᇟQ҄fdfe ޟf<fdfe 5z^fdfe `MՎfdfe 3աfdfe մfdfe 损ǪfdfebfdfeD욄fdfetfdfeffdfeא!fdfe 3Jfdfe 32fdfe=lDgfdfeoWUfdfehgfdfeПyfdfe֌fdfe.y֞fdfe\!ֱfdfe҄fdfeJfdfefdfe 2fdfe3nfdfe\")fdfeӟ=fdfeS/fdfeЗhfdfe~]fdfeהrfdfe=oתfdfe_ffdfeCfdfehfdfeŒfdfeᷟfdfe6fdfeeOfdfe:gfdfeUß؀fdfepؙfdfeس(fdfeΟلfdfe'҄fdfeӦ4fdfe)fdfe6fdfeQ΄fdfe(m1fdfe<ىfdfeNp٤fdfe_Zfdfep߄fdfewfdfeEfdfec5JfdfeSfdfeq fdfe¡ڏCfdfe'ڭfdfe̺fdfefdfe* UfdfeC*fdfeKfdfeMkFfdfe ۋfdfe۬fdfeńfdfeRfdfe Dfdfe 3fdfe 32fdfe 5fdfe [fdfe |fdfe w۬fdfe Qیfdfe kfdfe K=fdfe %+Bfdfe -- fdfe 5Ofdfe >Bfdfe Hڮfdfe Rڏfdfe ^Eq:fdfe jS2fdfe wן5fdfe  fdfe џfdfe fdfe Gjfdfe ٥)fdfe ىfdfe @mnfdfe _Qfdfe A6fdfe *fdfe AIfdfe Y fdfe qjfdfe س.fdfe ؙ˄fdfe g؀fdfe ;g„fdfe ɟOfdfe 16fdfe 3sƄfdfe Rfdfe rfdfe |Xfdfe 'bfdfe ׬ת݄fdfe 5הxfdfe o~fdfe Dhfdfe jqS&fdfe 9>fdfe )fdfe ᇟfdfe ޟ(fdfe 5fdfe `M_fdfe 3΄fdfe ֱfdfe 损֞fdfe֌fdfeDyʄfdfetgfdfeUfdfeאDhfdfe 3fdfe 32fdfe=l!fdfeoWfdfehfdfeП쪄fdfeOfdfe.yǰfdfe\!մɄfdfeաfdfeՎfdfezPfdfe 2fGfdfe3Qfdfe\"=Pfdfeӟ(nfdfe5fdfeЗ„fdfefdfefdfe=oԻfdfe_ԤfdfeԎ!fdfevfdfeŒ_xfdfeᷟG„fdfe/fdfeedfdfe:ՄfdfeUßfdfep„fdfeӳ<fdfeΟәfdfe'fdfeӦe0fdfe)Jfdfe/fdfefdfe(3fdfe<bfdfeNpnfdfe_ҥ fdfep҈fdfewkfdfeENxfdfec1fdfeGfdfeXfdfe¡!fdfe'Ѹrfdfeљfdfezhfdfe*[fdfeC;nfdfePfdfeMfdfe mfdfeйfdfeИfdfewfdfe DUvfdfe 3Vfdfeػ$R ufe 32fd  32fd u fe,ufe& 32fd & 32fd 1u feu fe 32fdfe U/fdfe [vfdfe|ܘNfdfewܹrfdfeQNfdfe܄fdfe'fdfe%;"fdfe--Z܄fdfe5OzNfdfe>BݙmfdfeHݸNfdfeRڄfdfe^E*fdfej2fdfewן0fdfeNYfdfeџkvfdfeވ\fdfeGޤfdfe;fdfeHfdfe@fdfe_rfdfeA/fdfe*JxfdfeAefdfeYZfdfeqjߙlfdfe߳6fdfe̙fdfeg҄fdfe;fdfeɟJfdfe1/fdfe3sGfdfeR_mfdferv΄fdfe| fdfe'fdfe׬໇fdfe5fdfeoބfdfeDfdfejq>fdfe9(Tfdfe =OfdfeᇟQ҄fdfe ޟf<fdfe5z^fdfe`Mfdfe3ᡖfdfeᴪfdfe损ǪfdfebfdfeD욄fdfetfdfeffdfeא!fdfe 3Jfdfe 32fdfe=lDgfdfeoWUfdfehgfdfeПyfdfefdfe.y➴fdfe\!ⱛfdfe҄fdfeJfdfefdfe 2fdfe3nfdfe\")fdfeӟ=fdfeS/fdfeЗhfdfe~]fdferfdfe=o㪾fdfe_ffdfeCfdfehfdfeŒfdfeᷟfdfe6fdfeeOfdfe:gfdfeUß䀂fdfep䙢fdfe(fdfeΟلfdfe'҄fdfeӦ4fdfe)fdfe6fdfe Q΄fdfe (m1fdfe <fdfe Npfdfe _Zfdfe p߄fdfe wfdfe Efdfe c5Jfdfe Sfdfe q fdfe ¡Cfdfe 'fdfe ̺fdfe fdfe * Ufdfe C*fdfe Kfdfe MkFfdfe! fdfe!笺fdfe!ńfdfe!Rfdfe! 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XiӍ:-12L|BoMdofP!areigisiӍ|-[10]2$P!areigis,lB.:`ReconstructionmofHiddenSymmetries.J.Algebra183(90-154)1996.[11]2$P!areigis,ЭB.aandSommerhfauser,Y.:TGraphicCalculusofBraidedCategories. 2$Preprin!tf1999.[12]2$P!enrose,R.:6ApplicationsofNegativeDimensionalTeensors.In:6Combinatorial2$MathematicsfanditsApplications.AcademicPress.(221-244)1971.[13]2$Team!bara,D.:ThecoMendomorphismbialgebraofanalgebra.J.Fac.Sci.Univ.2$Teoky!of37,1990,425-456.[14]2$Teak!euchi,?M.:܅FreeHopfAlgebrasgeneratedb!yCoalgebras.J.Math.SoMc.Japan2$23,fNo.4,1971.[15]2$Yeetter,ieD.2N.:vQuan!tumGroupsandRepresentationsofMonoidalCategories.2$Math.fProMc.Cam!b.Phil.Soc.108No.2(261-290)1990.%;i "p0J 3 cmsl10"V 3 cmbx10!", 3 cmsy10 b> 3 cmmi10': 3 cmti10Nff cmbx12"V cmbx10K cmsy8;cmmi62cmmi8|{Ycmr8XQ cmr12DtGGcmr17K`y 3 cmr10K`y cmr10< lcircle10O line10u cmex10)