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
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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