Modular Lie representations of groups of prime order
type: Item
instance of: scholarly article
title: Modular Lie representations of groups of prime order
zbMATH Open document ID: 1067.17003
published in: Mathematische Zeitschrift
publication date: 2004-07-01T00:00:00Z
review text: Let \(K\) be a field of characteristic \(p\) and \(G\) be a group of order \(p\). For a finite-dimensional \(KG\)-module \(V\) and a positive integer \(n\), let \(L^n(V)\) denote the \(n\)-th homogeneous component of the free Lie \(K\)-algebra generated by \(V\) and consider \(L^n(V)\) as a \(KG\)-module. The author gives a formula which describes the module structure of \(L^n(V)\) up to isomorphism.
reviewed by: Melih Boral
Mathematics Subject Classification ID: 17B01
Mathematics Subject Classification ID: 20C20
zbMATH DE Number: 2078065
zbMATH Keywords: groups of prime order
zbMATH Keywords: KG-module
zbMATH Keywords: modular Lie representation
author: Roger M. Bryant
MaRDI profile type: Publication
full work available at URL: s00209-003-0590-3
OpenAlex ID: W2016339046
Wikidata QID: Q115388868
DOI: 10.1007/S00209-003-0590-3
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description: scientific article; zbMATH DE number 2078065