On the Hurwitz action in affine Coxeter groups

被引：2
作者：
Wegener, Patrick [1 ]
机构：
[1] TU Kaiserslautern, Kaiserslautern, Germany
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2020年 / 224卷 / 07期
关键词：
Coxeter groups; Hurwitz action; Reflection decompositions; ELEMENTS;
D O I：
10.1016/j.jpaa.2020.106308
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We call an element of a Coxeter group a parabolic quasi-Coxeter element if it has a reduced decomposition into a product of reflections that generate a parabolic subgroup. We show that for a parabolic quasi-Coxeter element in an affine Coxeter group the Hurwitz action on its set of reduced decompositions into a product of reflections is transitive. (C) 2020 Elsevier B.V. All rights reserved.
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页数：21
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