弱群扭曲双模范畴和广义的Cibils-Rosso定理

Weak Group Entwined Bimdules Category and Generalized Cibils-Rosso Theorem

引入了弱群扭曲双模范畴,并给出了它们的性质.进一步地,证明了广义的Cibils-Rosso定理在弱群扭曲结构下是成立的,即:弱群扭曲双模是某一个群分次代数上的模.作为应用,研究了上述理论在(弱)Hopf群余代数下的结果.

We introduce the category of weak group entwined bimodules and give some of their properties.Furthermore,we show that a generalized Cibils-Rosso's theorem holds in the setting of weak group entwining structures,that is,the weak group entwined bimodules are modules over a certain group graded algebra.As application,we consider our theories in the setting of(weak) Hopf group coalgebras.