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Type: Artigo de periódico
Title: Graded polynomial identities for the Lie algebra sl(2)(K)
Author: Koshlukov, P
Abstract: The Lie algebra sl(2)( K) over a field K has a natural grading by Z(2), the cyclic group of order 2. We describe the graded polynomial identities for this grading when the base. eld is infinite and of characteristic different from 2. We exhibit a basis of these identities that consists of one polynomial. In order to obtain this basis we employ methods and results from Invariant theory. As a by-product we obtain finite bases of the graded identities for sl(2)( K) graded by other groups such as Z(2) x Z(2), and by the integers Z.
Subject: graded identities
Lie identities
finite basis of identities
Country: Singapura
Editor: World Scientific Publ Co Pte Ltd
Citation: International Journal Of Algebra And Computation. World Scientific Publ Co Pte Ltd, v. 18, n. 5, n. 825, n. 836, 2008.
Rights: fechado
Identifier DOI: 10.1142/S021819670800469X
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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