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2013 $X$-POSETS OF CERTAIN COXETER GROUPS
Sarah Hart, Peter J. Rowley
Taiwanese J. Math. 17(6): 1901-1919 (2013). DOI: 10.11650/tjm.17.2013.3263

Abstract

Let $X$ be a subgroup of a Coxeter group $W$. In [5], the authors developed the notion of $X$-posets, which are defined on certain equivalence classes of the (right) cosets of $X$ in $W$. These posets can be thought of as a generalization of the well-known Bruhat order of $W$. This article provides a catalogue of all the $X$-posets for various small Coxeter groups.

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Sarah Hart. Peter J. Rowley. "$X$-POSETS OF CERTAIN COXETER GROUPS." Taiwanese J. Math. 17 (6) 1901 - 1919, 2013. https://doi.org/10.11650/tjm.17.2013.3263

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1284.20041
MathSciNet: MR3141866
Digital Object Identifier: 10.11650/tjm.17.2013.3263

Subjects:
Primary: 20F55

Keywords: Bruhat order , cosets , Coxeter group , ‎partially ordered set

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

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Vol.17 • No. 6 • 2013
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