Bruhat-Chevalley order on \(\mathcal J\)-classes of reductive monoids.
type: Item
instance of: scholarly article
title: Bruhat-Chevalley order on \(\mathcal J\)-classes of reductive monoids.
zbMATH Open document ID: 1176.20061
author: Dewey T. Taylor
published in: Semigroup Forum
publication date: 2009-04-29T00:00:00Z
review text: The author gives an alternate description of the Bruhat-Chevalley order on \(\mathcal J\)-classes of the Renner monoid of a reductive (algebraic) monoid (defined over an algebraically closed field) using Bruhat intersections. This description avoids using the Zariski closure that appears in the usual definition.
reviewed by: Huang Wenxue
Mathematics Subject Classification ID: 20M32
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 5549505
zbMATH Keywords: Bruhat-Chevalley order
zbMATH Keywords: Bruhat decompositions
zbMATH Keywords: Bruhat intersections
zbMATH Keywords: Bruhat-Renner decompositions
zbMATH Keywords: linear algebraic monoids
zbMATH Keywords: Renner monoids
zbMATH Keywords: reductive monoids
MaRDI profile type: Publication
full work available at URL: s00233-008-9062-8
OpenAlex ID: W2002889472
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cites work: FINE BRUHAT INTERSECTIONS FOR REDUCTIVE MONOIDS
DOI: 10.1007/S00233-008-9062-8
description: scientific article; zbMATH DE number 5549505