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浙江大学学报（理学版）
浙江大学学报（理学版）  2016, Vol. 43 Issue (6): 672-675    DOI: 10.3785/j.issn.1008-9497.2016.06.008
数学与计算机科学     
弱广义对角交叉积的表示范畴
陈笑缘1, 贾玲2
1. 浙江商业职业技术学院, 浙江 杭州 310053;
2. 鲁东大学 数学与统计科学学院, 山东 烟台 264025
The representation category of weak generalized diagonal crossed product
CHEN Xiaoyuan1, JIA Ling2
1. Zhejiang Business College, Hangzhou 310053, China;
2. School of Mathematics and Statistics Science, Ludong University, Yantai 264025, Shandong Province, China
 全文: PDF(433 KB)  
摘要： 引入弱（H，A）-Yetter Drinfeld模和弱广义对角交叉积代数，证明了弱广义对角交叉积的表示范畴同构于弱（H，A）-Yetter Drinfeld模范畴.
关键词： 弱Hopf代数;  弱(H,A)-Yetter Drinfeld模;  弱广义对角交叉积    
Abstract: The notions of weak(H,A)-Yetter Drinfeld datum and weak generalized diagonal cross product algebra are introduced. We prove that the category of modules over a weak(H,A)-Yetter Drinfeld datum is isomorphic to the representation category of H*A, which is an induced associative algebra called weak generalized diagonal cross product.
Key words: weak Hopf algebra    weak(H,A)-Yetter Drinfeld module    weak generalized diagonal cross product
收稿日期: 2015-10-22 出版日期: 2017-03-07
CLC:  O153.3  
基金资助: 山东省自然科学基金资助项目(ZR2012AL02).
作者简介: 陈笑缘(1963-),ORCID:http://orcid.org/0000-0003-2898-9976,女,教授,主要从事代数研究.
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引用本文:

陈笑缘, 贾玲. 弱广义对角交叉积的表示范畴[J]. 浙江大学学报（理学版）, 2016, 43(6): 672-675.

CHEN Xiaoyuan, JIA Ling. The representation category of weak generalized diagonal crossed product. Journal of ZheJIang University(Science Edition), 2016, 43(6): 672-675.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.06.008    或    https://www.zjujournals.com/sci/CN/Y2016/V43/I6/672

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[1] 陈笑缘. Cat弱Hopf代数[J]. 浙江大学学报（理学版）, 2017, 44(2): 181-185.
[2] 穆尼尔·艾哈迈德, 李方. 基本弱Hopf代数和弱覆盖箭图[J]. 浙江大学学报（理学版）, 2016, 43(4): 379-388.