The Representations of Quantum Double of Dihedral Groups

被引：3

作者：

Dong, Jingcheng ^{[1
,2
]}

Chen, Huixiang ^{[2
]}

机构：

[1] Nanjing Agr Univ, Coll Engn, Nanjing 210031, Jiangsu, Peoples R China

[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2013年 / 20卷 / 01期

关键词：

quantum double; dihedral group; representation; Yetter-Drinfeld module;

D O I：

10.1142/S1005386713000096

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k be an algebraically closed field of odd characteristic p, and let D-n be the dihedral group of order 2n such that p vertical bar 2n. Let D(kD(n)) denote the quantum double of the group algebra kD(n). In this paper, we describe the structures of all finite-dimensional indecomposable left D(kD(n))-modules, equivalently, of all finite-dimensional indecomposable Yetter-Drinfeld kD(n)-modules, and classify them.

引用

页码：95 / 108

页数：14

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