| D(kS3)的不可约表示与Grothendieck群的环结构 |
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| 引用本文： | 朱虹,张影.D(kS3)的不可约表示与Grothendieck群的环结构[J].山东大学学报(理学版),2009,44(12):17-21. |
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| 作者姓名： | 朱虹 张影 |
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| 作者单位： | 扬州大学数学科学学院, 江苏 扬州 225002 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 研究了Hopf代数kS3的Drinfeld double D(kS3)的不可约表示与Grothendieck群G0(D(kS3))的环结构,其中k是特征为2的域,且含有一个3次本原单位根。
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| 关 键 词： | Hopf代数 Grothendieck群 单模 Yetter Drinfeld模 Drinfeld double |
| 收稿时间： | 2009-08-02 |
Irreducible representations of D(kS3) and ring structure of its Grothendieck group |
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| ZHU Hong,ZHANG Ying.Irreducible representations of D(kS3) and ring structure of its Grothendieck group[J].Journal of Shandong University,2009,44(12):17-21. |
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| Authors: | ZHU Hong ZHANG Ying |
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| Institution: | School of Mathematics Science, Yangzhou University, Yangzhou 225002, Jiangsu, China |
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| Abstract: | Let k be a field of characteristic 2 containing a 3-th primitive root of unity,and S_3 be the symmetric group on 3 letters.The irreducible representations of the Drinfeld double D(kS_3) of Hopf algebra kS_3 is discussed.The ring shructure of the Grothendieck group G_0(D(kS_3)) are also given. |
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| Keywords: | Drinfeld double Hopf algebra Grothendieck group simple module Yetter-Drinfeld module Drinfeld double |
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