弱群扭曲模范畴上的伴随函子

Adjoint Functors Related to the Category of Weak Group Entwined Modules

引入了弱群扭曲结构,统一了Hopf模、相关Hopf模、Yetter-Drinfeld模,证明了在弱群扭曲模范畴上,忘却群作用和群余作用的函子都有各自的伴随函子.

We introduce the notion of a weak group entwining structure, which unifies relative Hopf modules, Hopf modules, Yetter--Drinfel＇d modules. Furthermore, we mainly prove that over the category of weak group entwined modules, the functor forgetting group action and group coaction has an adjoint.