Verma module imbeddings and the Bruhat order for Kac-Moody algebras
type: Item
instance of: scholarly article
title: Verma module imbeddings and the Bruhat order for Kac-Moody algebras
zbMATH Open document ID: 0621.17014
DOI: 10.1016/0021-8693(87)90148-7
author: Wayne Neidhardt
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: The author discusses the connection between the Bruhat order on the Weyl group and Verma module embedding in the case of a Kac-Moody Lie algebra \({\mathfrak g}\). \({\mathfrak g}\) is defined here by a (not necessarily symmetrizable) generalized Cartan matrix. It is proved that if both highest weights of Verma modules are in the same Weyl group orbit of a dominant integral weight, then the existence of imbeddings is determined by the Bruhat order on the Weyl group.
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 22E47
zbMATH DE Number: 4006507
zbMATH Keywords: Bruhat order
zbMATH Keywords: Weyl group
zbMATH Keywords: Verma module embedding
zbMATH Keywords: Kac-Moody Lie algebra
zbMATH Keywords: highest weights
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90148-7
OpenAlex ID: W2035990230
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description: scientific article; zbMATH DE number 4006507