On cosets in Coxeter groups

被引：1
|
作者：
Hart, Sarah B. [1 ]
Rowley, Peter J. [2 ]
机构：
[1] Univ London, Dept Econ Math & Stat Birkbeck, London WC1E 7HX, England
[2] Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, England
来源：
TURKISH JOURNAL OF MATHEMATICS | 2012年 / 36卷 / 01期
关键词：
Coxeter group; Bruhat order; cosets; partially ordered sets;
D O I：
10.3906/mat-0909-65
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the notion of Coxeter length for a subset of a Coxeter group, as introduced in [9], is investigated for various subsets of a Coxeter group. Mostly cosets of various subgroups are examined as well as the associated idea of X-posets, which is a vast generalization of the Bruhat order.
引用
收藏
页码：77 / 93
页数：17
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