Short proofs of embeddings into exceptional groups of Lie type
type: Item
instance of: scholarly article
title: Short proofs of embeddings into exceptional groups of Lie type
zbMATH Open document ID: 1011.20017
author: Alex Ryba
published in: Journal of Algebra
publication date: 2003-02-25T00:00:00Z
review text: The author proves two results about \(G\)-invariant submodules of Lie algebras on which a finite group \(G\) acts. These results are applied to give short proofs of the embeddings of \(Ru\) and \(HS\) in \(E_7(5)\), \(^2F_4(2)'\) in \(E_6(5)\), \(U_3(8)\) in \(E_7(\mathbb{C})\) and \(J_1\) in \(G_2(11)\).
Mathematics Subject Classification ID: 20D06
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20D08
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 1750361
zbMATH Keywords: sporadic groups
zbMATH Keywords: embeddings
zbMATH Keywords: invariant subalgebras of Lie algebras
zbMATH Keywords: exceptional groups of Lie type
Wikidata QID: Q115395685
reviewed by: V. D. Mazurov
MaRDI profile type: Publication
full work available at URL: jabr.2001.9012
OpenAlex ID: W1973938582
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DOI: 10.1006/JABR.2001.9012
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description: scientific article; zbMATH DE number 1750361