ABSOLUTE ORDER AND INVOLUTIONS

Abstract We study the restriction of the absolute order on a Coxeter group W to an interval $[1,w]_T$ , where $w\in W$ is an involution. We characterise and classify those involutions w for which $[1,w]_T$ is a lattice, using the notion of involutive parabolic subgroups .

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Publication Details

Journal
Bulletin of the Australian Mathematical Society
Published
2025-10-23
DOI
https://doi.org/10.1017/s0004972725100531
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

ABSOLUTE ORDER AND INVOLUTIONS

Thomas Gobet
Bulletin of the Australian Mathematical Society
Advanced Combinatorial Mathematics
article

ABSOLUTE ORDER AND INVOLUTIONS

Thomas Gobet
article en

Abstract

Abstract We study the restriction of the absolute order on a Coxeter group W to an interval $[1,w]_T$ , where $w\in W$ is an involution. We characterise and classify those involutions w for which $[1,w]_T$ is a lattice, using the notion of involutive parabolic subgroups .

Bulletin of the Australian Mathematical Society
Université Clermont Auvergne (FR)
Openalex Percentile: Top 63%
Advanced Combinatorial Mathematics
DOIOpen Access PDFOpenAlex
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ABSOLUTE ORDER AND INVOLUTIONS — Thomas Gobet · Bulletin of the Australian Mathematical Society (2025) | TGRS Research Map | TGRS