Twisted group algebras of Abelian groups

Autor(es)

Duarte, Andre ; Ferraz, Raul Antonio ; Milies, Cesar Polcino

• Tipo de documento: Artigo Científico
• Fonte: FINITE FIELDS AND THEIR APPLICATIONS; v. 95, p. 14-pg., 2024-02-15.

Resumo

We study twistings for finite Abelian groups over fields and then show how to extend the notion of idempotent determined by a subgroup, so useful in the case of group algebras, to the case of twisted group algebras, at least when the subgroup is cyclic. In doing so, we obtain a method to compute in a direct way the primitive central idempotents of these algebras over a finite field and fully describe their simple components. (c) 2024 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