Busca avançada
Ano de início
Entree


Graded identities of the adjoint representation of sl2(K)

Texto completo
Autor(es):
Sampaio, Cassia ; Koshlukov, Plamen
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. N/A, p. 21-pg., 2025-02-18.
Resumo

Let K be a field of characteristic zero and let sl(2)(K) be the 3-dimensional simple Lie algebra over K. In this paper, we describe a finite basis for the Z(2)-graded identities of the adjoint representation of sl(2)(K), or equivalently, the Z(2)-graded identities for the pair (M-3(K), sl(2)(K)). We work with the canonical grading on sl(2)(K) and the only nontrivial Z(2)-grading of the associative algebra M-3(K) induced by that on sl(2)(K). (AU)

Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
Beneficiário:Ivan Chestakov
Modalidade de apoio: Auxílio à Pesquisa - Temático