弱T余代数上的弱Doi-Hopf π-模和弱Yetter-Drinfeld π-模(英文)  

Doi-Hopf π-modules and Yetter-Drinfeld π-modules Over a Weak T-coalgebra

作　　者：贾玲[1] 李方[2] 

机构地区：[1]山东鲁东大学数学与信息学院数学系,鲁东山东271019 [2]浙江大学数学系,杭州浙江310027

出　　处：《数学进展》2009年第1期117-126,共10页Advances in Mathematics（China）

基　　金：Project supported bu Ludong University(No.LY20062703);the Natural Science Foundation of Zhejiang Province of China(No.102028).

摘　　要：本文揭示了弱Doi-Hopfπ-模范畴和弱Yetter-Drinfeldπ-模范畴之间的密切联系,并证明了弱Yetter-Drinfeldπ-模范畴同构于一个T-范畴的中心.In this note we reveal the deep relation between the category of weak Doi-Hopf group modules and that of weak Yetter-Drinfeld group modules. Furthermore we also show the category of weak Yetter-Drinfeld group modules is isomorphic to the center of a T-category. These extend the classical theories of weak Hopf algebra.

关 键 词：弱Hopf群余代数 弱T-余代数 弱Doi-Hopfπ-模 弱Yetter-Drinfeldπ-模 

分 类 号：O153.6[理学—数学]