正则乘子Hopf代数上Yetter-Drinfel’d模范畴中的自同构代数

摘要

本文研究了正则乘子Hopf代数上Yetter-Drinfel’d模范畴中自同构代数的问题。利用乘子Hopf代数以及同调代数理论中的方法，获得了Yetter-Drinfel’d模范畴中两个自同构代数是同构的结果，推广了Panaite等人在Hopf代数中的结果。%Endomorphism algebras in Yetter-Drinfel’d module category over a regular multi-plier Hopf algebra are studied in this paper. By the tools of multiplier Hopf algebra and Homologi-cal algebra theories, we get that two endomorphism algebras are isomorphic in the Yetter-Drinfel’d module category, which generalizes the results of Panaite et al. in Hopf algebra case.