On the topology of the combinatorial flag varieties
type: Item
instance of: scholarly article
title: On the topology of the combinatorial flag varieties
zbMATH Open document ID: 1003.52010
published in: Discrete \& Computational Geometry
publication date: 2002-05-30T00:00:00Z
review text: The main result of this article is to show that the simplicial complex of all chains of matroids of a Coxeter group is shellable. This proves and extends a conjecture of White. A significant portion of the article is devoted to explaining briefly the concept of a Coxeter matroid, and developing certain theoretical tools required for the proof of the main theorem. The article also gives some results about the cohomology groups of certain other complexes.
Mathematics Subject Classification ID: 52B22
Mathematics Subject Classification ID: 52B40
zbMATH DE Number: 1747937
zbMATH Keywords: Coxeter matroid
zbMATH Keywords: combinatorial flag variety
zbMATH Keywords: shellability
author: Alexandre V. Borovik
author: I. M. Gel'fand
author: D. A. Stone
reviewed by: Michael I. Hartley
MaRDI profile type: Publication
full work available at URL: s00454-001-0061-8
OpenAlex ID: W2011371167
DOI: 10.1007/S00454-001-0061-8
description: scientific article; zbMATH DE number 1747937