| Yetter–Drinfeld Modules over the Hopf–Ore Extension of the Group Algebra of Dihedral Group |
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| 基金项目： | Supported by NSF of China （Grant No. 11171291） and Doctorate Foundation （Grant No. 200811170001）, Ministry of Education of China |
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| 摘 要： |
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| 关 键 词： | Ore扩张 Hopf 模块 二面体群 群代数 代数闭域 二面角 KDN |
| 收稿时间： | 31 December 2009 |
Yetter-Drinfeld modules over the Hopf-Ore extension of the group algebra of dihedral group |
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| Authors: | Hong Zhu Hui Xiang Chen |
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| Institution: | (1) Department of Information Science, School of Mathematical and Physical, Changzhou University, Changzhou, 213164, P. R. China;(2) School of Mathematical Science, Yangzhou University, Yangzhou, 225002, P. R. China |
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| Abstract: | Let k be an algebraically closed field of characteristic zero, and D
n
be the dihedral group of order 2n, where n is a positive even integer. In this paper, we investigate Yetter-Drinfeld modules over the Hopf-Ore extension A(n, 0) of kD
n
. We describe the structures and properties of simple Yetter-Drinfeld modules over A(n, 0), and classify all simple Yetter-Drinfeld modules over A(n, 0). |
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| Keywords: | Dihedral group Hopf-Ore extension Yetter-Drinfeld module |
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