Globalization of partial group actions on semiprime Lie algebras and unital Jordan algebras

Autor(es)

Dokuchaev, Mikhailo ; Rodriguez, Jose L. Vilca

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 636, p. 23-pg., 2023-09-20.

Resumo

We give necessary and sufficient conditions for the existence of a semiprime globalization for a partial group action on a semiprime Lie algebra L, and with an additional reasonable condition, we show that this semiprime globalization is unique up to isomorphism. Moreover, under the same condition we prove that any globalizable partial group action on L induces a globalizable partial group action on its maximal quotient algebra. For Jordan algebras, we show that a globalizable partial group action on a unital Jordan algebra J induces a globalizable partial group action on the unital special universal envelope for J.(c) 2023 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 20/16594-0 - Anéis não comutativos e aplicações
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/08659-8 - Álgebras de Lie: isomorfismos e ações
• Beneficiário: Jose Luis Vilca Rodriguez
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado