Simple finite-dimensional right-alternative unital superalgebras with associative-commutative even part over a field of characteristic zero

Autor(es)

Pchelintsev, S. V. ^{[1, 2]} ; Shashkov, O. V. ^[2]

Afiliação do(s) autor(es)

^[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk - Russia

^[2] Financial Univ Govt Russian Federat, Moscow - Russia

• Tipo de documento: Artigo Científico
• Fonte: IZVESTIYA MATHEMATICS; v. 82, n. 3, p. 578-595, 2018.
• Citações Web of Science: 2

Resumo

We study simple finite-dimensional right-alternative unital superalgebras over a field of characteristic zero. We prove that if the even part of a superalgebra is associative and commutative, then the superalgebra is of Abelian type. The classification of such superalgebras is known. (AU)

• Processo FAPESP: 17/04846-2 - Superálgebras simples alternativas à direita com condições para parte par
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional