Yetter-Drinfeld范畴上相关Hopf模结构定理的改进

Yetter-Drinfeld范畴上相关Hopf模结构定理的改进

吕林燕

济南大学理学院，山东济南250022

收稿日期:2006-03-10 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 吕林燕

Improvement of relative Hopf module structure theorem in YetterDrinfeld category

LV Lin-yan

School of Science, Jinan Univ., Jinan 250022, Shandong, China

Received:2006-03-10 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LV Lin-yan

摘要/Abstract

摘要： 设L是域k上的Hopf代数，其对极为sL；A是Hopf代数,其对极为sA，令B是右A余模代数.给出了改进后的LLYD中(A,B)Hopf模的基本结构定理，它是一般Hopf模基本结构定理的推广.

关键词: YetterDrinfeld模范畴, (A, Cleft余模代数 , 余模代数, B)Hopf模

Abstract: Let L be Hopf algebra on field k with antipode sL and A be Hopf algebra with antipode sA. Let B be a right Acomodule algebra. The fundamental structure theorem about (A,B)Hopf module in LLYD is improved, which is the extension of the basic structure theorem of Hopf module.

Key words: Cleft comodule algebra , comodule algebra, B)Hopf module, (A, YetterDrinfeld module category

吕林燕 . Yetter-Drinfeld范畴上相关Hopf模结构定理的改进[J]. J4, 2006, 41(6): 90-92 .

LV Lin-yan . Improvement of relative Hopf module structure theorem in YetterDrinfeld category[J]. J4, 2006, 41(6): 90-92 .

参考文献

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