Yetter-Drinfeld模范畴上的余代数与H-余交换  

Coalgebras in the Yetter-Drinfeld Category and H-Cocommutativity

作　　者：巫永萍[1] 

机构地区：[1]浙江师范大学数理学院

出　　处：《龙岩学院学报》2005年第6期4-5,8,共3页Journal of Longyan University

摘　　要：讨论了对于给定的一个余代数B,在什么条件下成为Yetter-Drinfeld模范畴上的余代数,并研究它与H-余交换之间的关系,证明了有大量的Yetter-Drinfeld模存在。事实上,所有的Smash余积都是Yetter-Drinfeld模范畴上的余代数。In this paper, we mainly discuss the condition under which a given coalgebra is a coalgebra in the Yetter-Drinfeld category and the relationship between the coalgebra and H-cocommutativity. We show that Yetter-Drinfeld modules are plentiful. In fact, all the Smash coproducts are the coalgebras in the Yetter-Drinfeld category.

关 键 词：H-模余代数 H-余模余代数 Yetter—Drinfeld模 H-余交换 SMASH余积 

分 类 号：O153.3[理学—数学]