HOPF ALGEBRA STRUCTURE OVER GENERALIZED BIPRODUCTS

• 발행기관: 호서대학교 기초과학연구소
• 저자명: Junseok Park
• 간행물 정보: 『기초과학연구 논문집』제17권 제1호, 1~8쪽, 전체 8쪽
• 주제분류: 공학 > 공학일반
• 파일형태: PDF
• 발행일자: 2009.12.30

국문 초록

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]

키워드

Hopf algebra biproduct generalized biproduct