| 二面体群D_2上Hopf路余代数的结构分类 |
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| 引用本文： | 吴美云. 二面体群D_2上Hopf路余代数的结构分类[J]. 数学杂志, 2010, 30(3) |
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| 作者姓名： | 吴美云 |
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| 作者单位： | 南通大学理学院,江苏,南通,226007 |
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| 基金项目： | 国家自然科学基金，南通大学自然科学基金 |
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| 摘 要： | 本文研究了Hopf代数的构造问题.利用模范畴和箭图,获得了当G是二面体群D2这一4阶交换群时的Hopf路余代数kQc的同构分类及其子Hopf代数kG[kQ1]的结构,推广了当G是2阶循环群时的相应结论.
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| 关 键 词： | 箭图 Hopf代数 Hopf双模 |
STRUCTURE CLASSIFICATION OF HOPF PATH COALGEBRAS OVER A DIHEDRAL GROUP D_2 |
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| WU Mei-yun. STRUCTURE CLASSIFICATION OF HOPF PATH COALGEBRAS OVER A DIHEDRAL GROUP D_2[J]. Journal of Mathematics, 2010, 30(3) |
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| Authors: | WU Mei-yun |
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| Affiliation: | WU Mei-yun (College of Science,Nantong University,Nantong 226007,China) |
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| Abstract: | In this article,we study the problem of the structure classification of the Hopf algebra.By using the module category and the quiver,we obtain the distinct isomorphic classification of Hopf path coalgebras kG~c and the structure of Hopf subalgebra of kG[kQ_1],when G is a dihedral group D_2,that is,an abelian group of degree 4.This conclusion extends the results when G is a cyclic group of degree 2. |
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| Keywords: | Quiver Hopf algebra Hopf bimodule |
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