Irreducible representations of subgroups of finite index in Baumslag-Solitar groups

被引：2

作者：

Dudkin, F. A. ^{[1
]}

机构：

[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2013年 / 54卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

Baumslag-Solitar group; irreducible representation; subgroup of finite index;

D O I：

10.1134/S0037446613060062

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe all finite-dimensional irreducible linear representations over the field of complex numbers for an arbitrary subgroup of finite index of a Baumslag-Solitar group BS(p, q) = aOE (c) a, t | t (-1) a (p) t = a (q) > for coprime p and q. We find necessary and sufficient conditions for the equivalence of these representations, using only standard facts of linear algebra and the description of subgroups of finite index in Baumslag-Solitar groups.

引用

页码：1013 / 1017

页数：5