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| 二面体群上的Hopf Ore扩张的单模 | |
| 引用本文： | 王振. 二面体群上的Hopf Ore扩张的单模[J]. 浙江师范大学学报(自然科学版), 2008, 31(4): 377-380 |
| 作者姓名： | 王振 |
| 作者单位： | 扬州大学,数学科学学院,扬州,江苏,225002 |
| 基金项目： | 国家自然科学基金 |
| 摘 要： | 构造了二面体群Dn的Hopf Ore扩张上的全部有限维单模．这些单模的维数分别为1，2和4，其中维数为1的单模仅有4个，维数为2，4的单模可分为有限个族，每个族都包含无限多个单模并以k^x或k^x／（-1）作指标集． |
| 关 键 词： | 二面体群 pointed HOPF代数 Hopf ORE扩张 单模 分类 |
Simple modules over the Hopf Ore extension of the dihedral group |
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| WANG Zhen. Simple modules over the Hopf Ore extension of the dihedral group[J]. Journal of Zhejiang Normal University Natural Sciences, 2008, 31(4): 377-380 | |
| Authors: | WANG Zhen |
| Affiliation: | WANG Zhen ( College of Mathematical Science, Yangzhou University, Yangzhou Jiangsu 225002, China ) |
| Abstract: | For the dihedral group Dn, it was constructed all the simple modules over the Hopf Ore extension. The dimension of these simple modules was 1, 2 or 4 respectively. There were only four simple modules with dimension 1. The simple modules of dimension 2 or 4 could be divided into finite families, each of which contained infinitely many simple modules indexed by k ^x or k ^x/〈 - 1 〉. |
| Keywords: | dihedral group pointed Hopf algebra Hopf Ore extension simple module classification |
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