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Type: Artigo de periódico
Title: Graded Polynomial Identities And Specht Property Of The Lie Algebra Sl2
Author: Giambruno A.
Souza M.D.S.
Abstract: Let G be a group. The Lie algebra sl2 of 2 × 2 traceless matrices over a field K can be endowed up to isomorphism, with three distinct non-trivial G-gradings induced by the groups Z2, Z2×Z2 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 sl2 endowed with each of the above three gradings has an ideal of graded identities IdG(sl2) satisfying the Specht property, i.e., every ideal of graded identities containing IdG(sl2) is finitely based. © 2013 Elsevier Inc.
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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