| Turaev辫子群范畴和Doi-Hopf模 |
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| 引用本文： | 郭双建,张晓辉.Turaev辫子群范畴和Doi-Hopf模[J].吉林大学学报(理学版),2017,55(4):771-778. |
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| 作者姓名： | 郭双建 张晓辉 |
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| 作者单位： | 1. 贵州财经大学 数学与统计学院, 贵阳 550025； 2. 曲阜师范大学 数学科学学院, 山东 曲阜 273165 |
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| 摘 要： | 设G是一个群.利用Turaev辫子群范畴的性质,在Doi-Hopf数据(H,A,C)上构造一个Turaev辫子G-范畴,其中H,A,C是Hopf代数.进一步,当C为有限维时,在一簇Smash积代数{A#~HC~*(α)}_(α∈G)上构造一个拟三角Turaev G-余代数A#~HC~*,其表示范畴与_AM~C(H)是同构的.
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| 关 键 词： | Doi-Hopf模 Turaev G-余代数 Turaev辫子G-范畴 |
| 收稿时间： | 2016-09-12 |
Turaev Braided Group Categories and Doi Hopf Modules |
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| GUO Shuangjian,ZHANG Xiaohui.Turaev Braided Group Categories and Doi Hopf Modules[J].Journal of Jilin University: Sci Ed,2017,55(4):771-778. |
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| Authors: | GUO Shuangjian ZHANG Xiaohui |
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| Institution: | 1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China;2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong Province, China |
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| Abstract: | Let G be a group, using the properties of Turaev braided group categories, we constructed a Turaev braided G category over Doi Hopf datum (H,A,C), where H,A,C were Hopf algebras. Furthermore, when C was finite dimensional Hopf algebra, we constructed a quasitriangular Turaev G coalgebra A#H C* over a family of Smash product algebras {A#HC*(α)}α∈G whose representation category and AMC(H) were isomorphic. |
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| Keywords: | Turaev braided G-category Turaev G-coalgebra Doi-Hopf module |
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