Combinatorial results on Demazure modules
type: Item
instance of: scholarly article
title: Combinatorial results on Demazure modules
zbMATH Open document ID: 0911.17016
author: Raika Dehy
published in: Journal of Algebra
publication date: 1999-04-29T00:00:00Z
review text: If \(\mathfrak{g}\) is a symmetrizable Kac-Moody algebra, \(\mathfrak{b}\) a Borel subalgebra, \(\lambda\) a dominant weight, and \(w\) an element of the Weyl group of \(\mathfrak{g}\), the subspace \[ E_w(\lambda) = U(w\mathfrak{b} w^{-1})v_\lambda \] of the highest weight module \(V(\lambda)\) is the Demazure module. There exists a natural bijection between \(\mathcal(P)(n)\) and a set of paths as defined by \textit{P. Littelmann} [Invent. Math. 116, 329-346 (1994; Zbl 0805.17019)].
reviewed by: Stefano Capparelli
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 1214130
zbMATH Keywords: Demazure modules
zbMATH Keywords: symmetrizable Kac-Moody algebra
zbMATH Keywords: Borel subalgebra
zbMATH Keywords: Weyl group
zbMATH Keywords: highest weight module
zbMATH Keywords: paths
MaRDI profile type: Publication
full work available at URL: jabr.1997.7394
OpenAlex ID: W1965652605
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DOI: 10.1006/JABR.1997.7394
description: scientific article; zbMATH DE number 1214130