正则乘子Hopf代数上Yetter-Drinfel'd模范畴中的自同构代数（英文）

ENDOMORPHISM ALGEBRAS IN THE YETTER-DRINFEL'D MODULE CATEGORY OVER A REGULAR MULTIPLIER HOPF ALGEBRA

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 multiplier Hopf algebra are studied in this paper.By the tools of multiplier Hopf algebra and Homological algebra theories,we get that two endomorphism algebras are isomorphic in the Yetter-Drinferd module category,which generalizes the results of Panaite et al.in Hopf algebra case.