| 扭曲Smash积的辫Monoidal范畴与辫Monoidal范畴上的扭曲Smash积 |
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| 引用本文： | 王栓宏.扭曲Smash积的辫Monoidal范畴与辫Monoidal范畴上的扭曲Smash积[J].数学学报,1999,42(3):385-394. |
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| 作者姓名： | 王栓宏 |
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| 作者单位： | 河南师范大学数学系,新乡,453002;复旦大学数学所,上海,200433 |
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| 基金项目： | 国家自然科学青年基金,河南省科委基金,河南省教委基金 |
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| 摘 要： | 得出了扭曲Ｓｍａｓｈ积模范畴Ａ＊ＨＭ是辫ｍｏｎｏｉｄａｌ范畴的一个充要条件；进一步讨论了与范畴Ａ—ＨＭ等价的范畴，引进了广义Ｙｅｔｔｅｒ－Ｄｒｉｎｆｅｌｄ范畴ＨＭＣ；最后，给出了辫Ｍｏｎｏｉｄａｌ范畴上扭曲Ｓｍａｓｈ积构成Ｈｏｐｆ代数充要的条件，这些结果统一了量子群中许多重要结论。
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| 关 键 词： | 扭曲Smash积，辫monoidal范畴，拟三角Hopf代数MR（1991）主题分类16W |
| 修稿时间： | :1998-04-0 |
On the Braided Monoidal Categories of Twisted Smash Products andthe Twisted Smash Products
over Braided Monoidal Categories |
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| Wang Shuanhong.On the Braided Monoidal Categories of Twisted Smash Products andthe Twisted Smash Products
over Braided Monoidal Categories[J].Acta Mathematica Sinica,1999,42(3):385-394. |
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| Authors: | Wang Shuanhong |
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| Institution: | Wang Shuanhong;
(Department of Mathematics, Henan NormalUniversity, Xinxiang 453002, P.R. China);
(Institute of Mathematics, Fudan University, Shanghai 200433,P.R. China) |
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| Abstract: | A necessary and sufficient condition for the twisted Smash
product modulecategories A H to be a braided monoidal category is given; Furthermore, a classof
category which is equivalent to category A HM is studied. A generalized yetter-Drinfeld category
HMC is introduced. Finally, a necessary and sufficient condition forthe twisted Smash product over
the braided monoidal categories to be Hopf algebra isfound. |
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| Keywords: | Twisted Smash product Braided Monoidal categories Quasitraingular Hopfalgebra |
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