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

作　　者：杨涛[1] 刘广锦[2] 周璇[3] YANG Tao LIU Guang-jin ZHOU Xuan(School of Science, Nanjing Agricultural University, Nanjing 210095, China School of Veterinary Medicine, Nanjing Agricultural University, Nanjing 210095, China School of Mathematics and Information Technology, Jiangsu Second Normal University, Nanjing 210013, China)

机构地区：[1]南京农业大学理学院,江苏南京210095 [2]南京农业大学动物医学院,江苏南京210095 [3]江苏第二师范学院数学与信息技术学院,江苏南京210013

出　　处：《数学杂志》2016年第6期1111-1119,共9页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11226070;11326063)

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 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.

关 键 词：乘子Hopf代数 Yetter-Drinfel'd模 Yetter-Drinfel'd模范畴 

分 类 号：O153.3[理学—数学]