Formula for the reflection length of elements in the group G (m, p, n)

被引：13

作者：

Shi, Han-Yi ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2007年 / 316卷 / 01期

基金：

中国国家自然科学基金;

关键词：

reflections; reflection groups; reflection length;

D O I：

10.1016/j.jalgebra.2007.06.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deduce a closed formula for the reflection length functions on the reflection group G(m, p, n) with p is an element of [m] and p vertical bar m. The formula is shown separately in three cases: p = 1, p = m and P is an element of [2, m - 1] (see the proof of Theorems 2.1, 3.1 and 4.4). (C) 20.07 Elsevier Inc. All rights reserved.

引用

页码：284 / 296

页数：13

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