On cosets in Coxeter groups

Sarah B. Hart; Peter J. Rowley

doi:10.3906/mat-0909-65

On cosets in Coxeter groups

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	77-93
Number of pages	17
Journal	Turkish Journal of Mathematics
Volume	36
Issue number	1
DOIs	https://doi.org/10.3906/mat-0909-65
Publication status	Published - 2012

Keywords

Coxeter group
Bruhat order
cosets
partially ordered sets

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10.3906/mat-0909-65

https://doi-org.manchester.idm.oclc.org/10.3906/mat-0909-65

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title = "On cosets in Coxeter groups",

abstract = "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.",

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AU - Rowley, Peter J.

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AB - 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.

KW - Coxeter group

KW - Bruhat order

KW - cosets

KW - partially ordered sets

U2 - 10.3906/mat-0909-65

DO - 10.3906/mat-0909-65

M3 - Article

SN - 1300-0098

VL - 36

SP - 77

EP - 93

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 1

ER -

On cosets in Coxeter groups

Abstract

Keywords

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