| 弱Hopf群余代数上的Yetter-Drinfeld模及中心构建 |
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| 引用本文： | 张翔,王卿文. 弱Hopf群余代数上的Yetter-Drinfeld模及中心构建[J]. 上海大学学报(自然科学版), 2010, 16(3): 248-252. DOI: 10.3969/j.issn.1007-2861.2010.03.006 |
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| 作者姓名： | 张翔 王卿文 |
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| 作者单位： | （1.上海大学 理学院,上海 200444; 2.遵义师范学院 数学系,贵州 遵义 563000) |
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| 基金项目： | 国家自然科学基金资助项目，遵义师范学院科研基金资助项目 |
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| 摘 要： | 研究弱Hopf群余代数上的Yetter-Drinfeld模，探讨其在弱Hopf群余代数上的性质,并给出它的等价条件.同时介绍单项范畴、单项范畴上的中心及弱中心,在此基础上,研究它与Yetter-Drinfeld模的关系.最后,证明在一定条件下二者是同构的，从而对弱Hopf群余代数及相关结构进行了更进一步的刻画.
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| 关 键 词： | Yetter-Drinfeld模 弱中心 同构, |
Yetter-Drinfeld Module over Weak Hopf π Coalgebra and Center Construction |
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| ZHANG Xiang,WANG Qing-wen. Yetter-Drinfeld Module over Weak Hopf π Coalgebra and Center Construction[J]. Journal of Shanghai University(Natural Science), 2010, 16(3): 248-252. DOI: 10.3969/j.issn.1007-2861.2010.03.006 |
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| Authors: | ZHANG Xiang WANG Qing-wen |
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| Affiliation: | (1. College of Sciences, Shanghai University, Shanghai 200444, China;2. Department of Mathematics, Zunyi Normal College, Zunyi 563000, Guizhou, China) |
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| Abstract: | This paper studies Yetter-Drinfeld modules over weak Hopf π coalgebra, discusses its properties over weak Hopf π coalgebra and gives its equivalent condition. The paper introduces monoidal categories, center and weak center over monoidal categories, which are divided into left and right centers. Based on these, the relations between the center and the Yetter-Drinfeld modules categories are studied, and it is proved that the center and the Yetter-Drinfeld module categories are isomorphic. Weak Hopf π coalgebra and its structure are further studied. |
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| Keywords: | Yetter-Drinfeld modules weak center isomorphic, |
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