Minimal varieties of graded Lie algebras of exponential growth and the special Lie algebra sl(2)

Autor(es)

Giambruno, Antonio ^[1] ; Souza, Manuela da Silva ^[2]

Afiliação do(s) autor(es)

^[1] Univ Palermo, Dipartimento Matemat & Informat, I-90123 Palermo - Italy

^[2] Univ Sao Paulo, IME, Dept Matemat, BR-05508090 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 218, n. 8, p. 1517-1527, AUG 2014.
• Citações Web of Science: 1

Resumo

The Lie algebra sl(2) = sl(2)(K) of 2 x 2 traceless matrices over a field K has only three nontrivial G-gradings when G is a group, the ones induced by G = Z(2), Z(2) X Z(2) and Z. Here we prove that when char(K) = 0, the variety var(G)(sl(2)) of G-graded Lie algebras generated by sl(2), is a minimal variety of exponential growth, and in case G = Z(2) X Z(2) or Z, varG (sl(2)) has almost polynomial growth. (AU)

• Processo FAPESP: 13/04590-7 - Estrela-identidades de grupos e nilpotência de Lie
• Beneficiário: Manuela da Silva Souza
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado