| 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. |
| 关键词: 乘子Hopf代数 Yetter-Drinfel'd模 Yetter-Drinfel'd模范畴 |
| DOI： |
| 分类号:O153.3 |
| 基金项目:Supported by National Natural Science Foundation of China(11226070; 11326063). |
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| ENDOMORPHISM ALGEBRAS IN THE YETTER-DRINFEL'D MODULE CATEGORY OVER A REGULAR MULTIPLIER HOPF ALGEBRA |
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YANG Tao1, LIU Guang-jin2, ZHOU Xuan3
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1.School of Science, Nanjing Agricultural University, Nanjing 210095, China;2.School of Veterinary Medicine, Nanjing Agricultural University, Nanjing 210095, China;3.School of Mathematics and Information Technology, Jiangsu Second Normal University, Nanjing 210013, China
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| Abstract: |
| 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-Drinfel'd module category, which generalizes the results of Panaite et al. in Hopf algebra case. |
| Key words: multiplier Hopf algebra Yetter-Drinfel'd module Yetter-Drinfel'd module category |
