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Type: Artigo de periódico
Title: Graded polynomial identities and Specht property of the Lie algebra sl(2)
Author: Giambruno, A
Souza, MD
Abstract: Let G be a group. The Lie algebra sl(2) of 2 x 2 traceless matrices over a field K can be endowed up to isomorphism, with three distinct non-trivial G-gradings induced by the groups Z(2), Z(2) x Z(2) and Z. It has been recently shown (Koshlukov, 2008 [8]) that for each grading the ideal of G-graded identities has a finite basis. In this paper we prove that when char(K) = 0, the algebra sl(2) endowed with each of the above three gradings has an ideal of graded identities Id(G)(sl(2)) satisfying the Specht property, i.e., every ideal of graded identities containing Id(G)(sl(2)) is finitely based. (c) 2013 Elsevier Inc. All rights reserved.
Subject: Graded polynomial identity
Lie algebra
Specht property
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Algebra. Academic Press Inc Elsevier Science, v. 389, n. 6, n. 22, 2013.
Rights: fechado
Identifier DOI: 10.1016/j.jalgebra.2013.05.009
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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