Globalizations of partial group actions on non-associative algebras

Autor(es)

Rodriguez, Jose L. Vilca ; Cortes, Wagner

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. N/A, p. 24-pg., 2023-05-25.

Resumo

This paper is a contribution to the globalization problem for partial group actions on non-associative algebras. We principally focus on partial group actions on Lie algebras, Jordan algebras and Malcev algebras. We give sufficient conditions for the existence and uniqueness of a globalization for partial group actions on the algebras already mentioned. As an application of this result, we show that in characteristic zero every partial group action on a semisimple Malcev algebra admits a globalization, unique up to isomorphism. We give a criterion for the existence and uniqueness of a globalization for a partial group action on a unital Jordan algebra in characteristic different from two, and on a sympathetic Lie algebra (a perfect Lie algebra without center and outer derivations). (AU)

• Processo FAPESP: 19/08659-8 - Álgebras de Lie: isomorfismos e ações
• Beneficiário: Jose Luis Vilca Rodriguez
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado