Graded polynomial identities for the Lie algebra sl(2)(K)

Autor(es)

Koshlukov, Plamen ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 18, n. 5, p. 825-836, AUG 2008.
• Citações Web of Science: 14

Resumo

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. (AU)

• Processo FAPESP: 05/60337-2 - Álgebras de Lie e de Jordan, suas representações e generalizações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 04/13766-2 - Identidades polinomiais em álgebras
• Beneficiário: Plamen Emilov Kochloukov
• Modalidade de apoio: Auxílio à Pesquisa - Regular