; TeX output 2002.05.14:10027 VN cmbx12MathematischesInstitutSS2002derUniversitXatM`unchenSet5Prof.Dr.B.Pareigis;KrNff cmbx12Problemffsetfor&QuantumffGroupsandNoncommutativeGeometry, XQ cmr12(17)%DeterminethecoSendomorphismbialgebraofg cmmi12Afromproblem13.ʍ (18)%(*)=DetermineexplicitlythedualcoalgebraA2 K cmsy8 JAofAd:=( msbm10K!", cmsy10hx;yn9i=I{where=the%idealI+isgeneratedasatrwo-sidedidealbrythepSolynomialse:xyqn9 |{Ycmr81 ʵyn9x;x 2;y 2.=:/ (19)%(*)DeterminethecoSendomorphismbialgebraofAfromproblem18. (20)%Let H abSeabialgebraandS2^ӹHom\(HF:;HV).ThenSisananrtipodeforH%〹(andHjisaHopfalgebra)i Sisatrwosidedinrverseforidinthealgebra%(Homy(HF:;HV);;n9")B+(see[AdvAlgebra]PropSosition2.21). ?iInparticularSis%uniquelydetermined.=}Duedate:8TVuesdary,28.05.2002,16:15inLectureHallE41*;7 ( msbm10 K cmsy8!", cmsy10g cmmi12|{Ycmr8Nff cmbx12N cmbx12XQ cmr12