Irreducible finitary Lie algebras over fields of characteristic zero
type: Item
instance of: scholarly article
title: Irreducible finitary Lie algebras over fields of characteristic zero
zbMATH Open document ID: 0921.17007
author: Felix Leinen
author: Orazio Puglisi
published in: Journal of Algebra
publication date: 1999-09-29T00:00:00Z
review text: Let \(V\) be a vector space over a field \(K\). A Lie subalgebra \(L\) of \(gl_K(V)\) is said to be finitary if it consists of elements of finite rank. The authors prove that if \(V\) is infinite dimensional over a field \(K\) of characteristic zero and if \(L\) acts irreducibly on \(V\), then the derived algebra of \(L\) is simple.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B05
zbMATH DE Number: 1251417
zbMATH Keywords: irreducible finitary Lie algebras
zbMATH Keywords: characteristic zero
reviewed by: Melih Boral
MaRDI profile type: Publication
full work available at URL: jabr.1998.7566
OpenAlex ID: W1989711099
Wikidata QID: Q115395859
cites work: Simple Diagonal Locally Finite Lie Algebras
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cites work: Q4856480
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DOI: 10.1006/JABR.1998.7566
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description: scientific article; zbMATH DE number 1251417