弱T-余代数上的广义Drinfel’d量子偶(英文)

Generalized Drinfel'd Quantum Double for Weak T-Coalgebras

在这篇文章中,我们引进了弱Doi-Hopf群模和群斜配对等概念,这些是分别作为弱Doi-Hopf模和普通斜配对概念的推广.以此为工具,我们建立了一类广义的D rinfel’d量子偶,这些是一类弱Hopf群余代数.

In this paper, we introduce the notions of a weak Doi-Hopf group module and a group skew pair as a respective generalization of a weak Doi-Hopf module and the usual skew pair. We establish a class of generalized Drinfel＇d doubles which is a class of weak Hopf group coalgebras by a group skew pair.