Irreducible disconnected subgroups of exceptional algebraic groups.
type: Item
instance of: scholarly article
title: Irreducible disconnected subgroups of exceptional algebraic groups.
zbMATH Open document ID: 1216.20039
author: Soumaïa Ghandour
published in: Journal of Algebra
publication date: 2010-06-08T00:00:00Z
review text: Motivated by the study of positive dimensional closed subgroups of classical algebraic groups, the author classifies all triples \((G,Y,V)\) where \(Y\) is a simple algebraic group of exceptional type defined over an algebraically closed field \(K\) of characteristic \(p>0\), \(G\) is a closed disconnected positive dimensional subgroup of \(Y\), and \(V\) is a nontrivial rational irreducible \(KY\)-module on which \(G\) acts irreducibly.
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G41
zbMATH DE Number: 5718176
zbMATH Keywords: reductive algebraic groups
zbMATH Keywords: semisimple algebraic groups
zbMATH Keywords: root systems
zbMATH Keywords: Weyl groups
zbMATH Keywords: representation theory
zbMATH Keywords: weights of representations
zbMATH Keywords: irreducible modules
reviewed by: L. N. Vaserstein
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2010.02.018
OpenAlex ID: W1964167632
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DOI: 10.1016/J.JALGEBRA.2010.02.018
description: scientific article; zbMATH DE number 5718176