吉林大学学报（理学版）2013，Vol.51Issue(2)：191-194,4.DOI:10.7694/jdxblxb20130208
Yetter-Drinfeld模范畴上的弱相对Hopf模基本定理
Fundamental Theorem for Weak Relative Hopf Module in Yetter-Drinfeld Module Categories
摘要
Abstract
With the help of the definitions of weak Hopf algebra and weak relative Hopf module in Yetter-Drinfeld module categories, the fundamental theorem for weak relative Hopf modules in Yetter-Drinfeld module categories was obtained. Let L be a Hopf algebra together with a bijective antipode and H be a weak Hopf algebra in category LLYD, then if there exists a right H-comodule map φ:: H→A in LLYD which is also an algebra map, M is a weak (H, A)-relative Hopf module in LLYD , thus the map F: Mco H (○).Aco A→M, F(m (○) a) =m · a is an isomorphism of weak (H,A)-relative Hopf modules.关键词
Yetter-Drinfeld模范畴/弱Hopf代数/弱相对Hopf模Key words
Yetter-Drinfeld module category/ weak Hopf algebra/ weak relative Hopf module分类
数理科学引用本文复制引用
王圣祥,郭双建..Yetter-Drinfeld模范畴上的弱相对Hopf模基本定理[J].吉林大学学报（理学版）,2013,51(2):191-194,4.基金项目
国家自然科学基金青年基金(批准号:11101128)、江苏省研究生创新工程项目(批准号:cxlx_0094)和滁州学院自然科学基金(批准号:2010kj006Z). （批准号:11101128）
