학술저널
HOPF ALGEBRA STRUCTURE OVER GENERALIZED BIPRODUCTS
- 호서대학교 기초과학연구소
- 기초과학연구 논문집
- 제17권 제1호
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2009.121 - 8 (8 pages)
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The biproduct bialgebra has been generalized to generalized biproduct bialgebra in [5]. Let (D, B) be an admissible pair and that D is a bialgebra. We show that if generalized biproduct bialgebra BxLH D is a Hopf algebra with antipode 5, then D is a Hopf algebra and the identity idB has an inverse in the convolution algebra Homk(B,B). We show that if D is a Hopf algebra with antipode SD and sb ？？ Homk(B,B) is an inverse of idB then BxLH D is a Hopf algebra w ith antipode s described by s(bxLH d) =∑(1bx LHsD)(b-1˙d ))(sB(bo)xLH 1D)This generalizes the corresponding results in [6]
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