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

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.