拟三角Hopf代数上的辫子Doi-Hopf模的广义积分和Maschke型定理(英文)  

A Generalized Integrals and Maschke Type Theorem for Braided Doi-Hopf Modules over Quasitriangular Hopf Algebras

作　　者：田长安[1] 王栓宏[1] 

机构地区：[1]河南师范大学数学与信息科学学院,河南新乡453002

出　　处：《河南师范大学学报（自然科学版）》2002年第2期1-6,共6页Journal of Henan Normal University(Natural Science Edition)

基　　金：ThisworkispartlysupportedbyNationalScienceFoundationofChina (No.196 0 10 15 )andtheNationalSci enceFoundationofHenanprovince(No.9940 5 190 0 )

摘　　要：1997年Caenepeel,Militaru和Zhu[1]证明了Doi Hopf模的Maschke型定理 ,在这篇文章中 ,我们引进了辫子Doi Hopf模 。In 1997 Caenepeel, Militaru and Zhu showed that there exist a Maschke type theorem for Doi-Hopf Modules. An analog result for braided Hopf modules was not known. In this paper, we introduce conception of braided Doi-Hopf module as the generalization of braided Hopf modules. They are Doi-Hopf modules over arbitrary Quasitriangular Hopf Algebras. We provide a Maschke type theorem for such braided Doi-Hopf modules.

关 键 词：拟三角HOPF代数 MASCHKE型定理 广义积分 辫子Doi-Hopf模 HOPF代数 

分 类 号：O153.3[理学—数学]