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Type: Artigo de periódico
Title: Graded Polynomial Identities For The Lie Algebra Sl2(k)
Author: Koshlukov P.
Abstract: The Lie algebra sl2(K) over a field K has a natural grading by 2, the cyclic group of order 2. We describe the graded polynomial identities for this grading when the base field 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 sl2(K) graded by other groups such as 2 × 2, and by the integers . © 2008 World Scientific Publishing Company.
Rights: fechado
Identifier DOI: 10.1142/S021819670800469X
Date Issue: 2008
Appears in Collections:Unicamp - Artigos e Outros Documentos

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