A note on a module in tensor space for the symplectic group
type: Item
instance of: scholarly article
title: A note on a module in tensor space for the symplectic group
zbMATH Open document ID: 0614.20029
DOI: 10.1016/0021-8693(86)90188-2
author: B. W. Wetherilt
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: The purpose of the paper under review is to describe a module of the symplectic group over an arbitrary infinite field which is the analogue of the Carter-Lusztig module of the general linear group [cf. \textit{R. W. Carter} and \textit{G. Lusztig}, Math. Z. 136, 193-242 (1974; Zbl 0298.20009)]. To accomplish this, the author uses contraction mappings on tensor space which were first introduced by \textit{H. Weyl} [The Classical Groups (1939; Zbl 0020.20601)].
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 15A72
zbMATH DE Number: 3993857
zbMATH Keywords: symplectic group
zbMATH Keywords: Carter-Lusztig module
zbMATH Keywords: contraction mappings
zbMATH Keywords: tensor space
reviewed by: Nikolai I. Osetinski
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90188-2
OpenAlex ID: W1965420407
cites work: On the modular representations of the general linear and symmetric groups
cites work: Symplectic standard tableaux
cites work: Q3672113
cites work: Polynomial representations of \(GL_n\)
cites work: Polynomial functions of the odd orthogonal group
description: scientific article; zbMATH DE number 3993857