A note on parabolic subgroups of a Coxeter group

被引：14

作者：

Qi, Dongwen ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

来源：

EXPOSITIONES MATHEMATICAE | 2007年 / 25卷 / 01期

关键词：

Coxeter group; root system; canonical representation; parabolic subgroup;

D O I：

10.1016/j.exmath.2006.05.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this note is to prove that the parabolic closure of any subset of a Coxeter group is a parabolic subgroup. To obtain that, several technical lemmas on the root system of a parabolic subgroup are established. (c) 2006 Elsevier GmbH. All rights reserved.

引用

页码：77 / 81

页数：5

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[7]

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