Quotients of Coxeter complexes and buildings with linear diagram
type: Item
instance of: scholarly article
title: Quotients of Coxeter complexes and buildings with linear diagram
zbMATH Open document ID: 0616.51009
DOI: 10.1016/S0195-6698(86)80019-1
author: Michelle L. Wachs
published in: European Journal of Combinatorics
publication date: 1986-01-01T00:00:00Z
review text: The author investigates certain subcomplexes of Coxeter complexes and (Tits) buildings, called quotient Coxeter complexes and quotient buildings. It is shown that such a quotient is the order complex of a poset if and only if it has a linear Coxeter diagram. Moreover it is shown that the poset (with a top and bottom element adjoined) is a lattice (for Coxeter complexes and for non-quotient buildings) and is lexicographically shellable (for both quotient Coxeter complexes and quotient buildings).
Mathematics Subject Classification ID: 51E99
Mathematics Subject Classification ID: 05B99
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 52A99
zbMATH DE Number: 3998630
zbMATH Keywords: Coxeter group
zbMATH Keywords: shellability
zbMATH Keywords: quotient Coxeter complexes
zbMATH Keywords: quotient buildings
MaRDI profile type: Publication
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full work available at URL: s0195-6698(86)80019-1
OpenAlex ID: W2031547052
description: scientific article; zbMATH DE number 3998630