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正则乘子Hopf代数上Yetter-Drinfel’d模范畴中的自同构代数

杨涛 刘广锦 周璇

数学杂志2016,Vol.36Issue(6):1111-1119,9.
数学杂志2016,Vol.36Issue(6):1111-1119,9.

正则乘子Hopf代数上Yetter-Drinfel’d模范畴中的自同构代数

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

杨涛 1刘广锦 2周璇3

作者信息

  • 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
  • 折叠

摘要

Abstract

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.

关键词

乘子Hopf代数/Yetter-Drinfel’d模/Yetter-Drinfel’d模范畴

Key words

multiplier Hopf algebra/Yetter-Drinfel’d module/Yetter-Drinfel’d module cat-egory

分类

数理科学

引用本文复制引用

杨涛,刘广锦,周璇..正则乘子Hopf代数上Yetter-Drinfel’d模范畴中的自同构代数[J].数学杂志,2016,36(6):1111-1119,9.

基金项目

Supported by National Natural Science Foundation of China(11226070 ()

11326063) ()

数学杂志

OA北大核心CSTPCD

0255-7797

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