A geometric presentation of the \(\lambda_ 2\)-modules of \(C_ n(q)\) and \(D_ n(q)\)
type: Item
instance of: scholarly article
title: A geometric presentation of the \(\lambda_ 2\)-modules of \(C_ n(q)\) and \(D_ n(q)\)
zbMATH Open document ID: 0838.20016
author: Steve M. Cohen
published in: Journal of Algebra
publication date: 1994-12-19T00:00:00Z
review text: The author constructs the fixed-point sheaf of the \(\lambda_2\)-module \(V\) for each of the groups \(C_n (q)\) and \(D_n (q)\). Also he shows that the 0-homology module of the sheaf is isomorphic to \(V\). This gives a presentation of \(V\) by geometric generators and relations.
reviewed by: Ye Jiachen
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20F05
zbMATH DE Number: 703230
zbMATH Keywords: finite groups of Lie type
zbMATH Keywords: representations
zbMATH Keywords: fixed-point sheaves
zbMATH Keywords: 0-homology modules
zbMATH Keywords: geometric generators and relations
MaRDI profile type: Publication
full work available at URL: jabr.1994.1348
OpenAlex ID: W2085123616
DOI: 10.1006/JABR.1994.1348
description: scientific article; zbMATH DE number 703230