Yetter–Drinfeld Modules over the Hopf–Ore Extension of the Group Algebra of Dihedral Group

被引：0

作者：

Hong ZHU ^{[1
,2
]}

Hui Xiang CHEN ^{[2
]}

机构：

[1] Department of Information Science, School of Mathematical and Physical,Changzhou University

[2] School of Mathematical Science, Yangzhou University

来源：

Acta Mathematica Sinica,English Series | 2012年 / 03期

关键词：

Dihedral group; HopfOre extension; YetterDrinfeld module;

D O I：

暂无

中图分类号：

O153 [抽象代数（近世代数）];

学科分类号：

070104 ;

摘要：

Let k be an algebraically closed field of characteristic zero, and Dn 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 kDn . 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).

引用

页码：487 / 502

页数：16

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