On the growth of graded polynomial identities of sl(n)

Autor(es)

Centrone, Lucio ; Souza, Manuela da Silva

• Tipo de documento: Artigo Científico
• Fonte: LINEAR & MULTILINEAR ALGEBRA; v. 65, n. 4, p. 752-767, 2017.
• Citações Web of Science: 0

Resumo

Let K be a field of characteristic 0 and L be a G-graded Lie PIalgebra where the support of L is a finite subset of G. We define the G-graded Gelfand-Kirillov dimension (GK) of L in k-variables as the GK dimension of its G-graded relatively free algebra having k homogeneous variables for each element of the support of L. We compute the G-graded GK dimension of sl(2)(K), where G is any abelian group. Then, we compute the exact value for the Zn-graded GK dimension of sl(n)(K) endowed with the Zn-grading of Vasilovsky. (AU)

• Processo FAPESP: 13/06752-4 - Cocaracteres e dimenção de Gelfand-Kirillov de PI-álgebras
• Beneficiário: Lucio Centrone
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• 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