On Right Alternative Superalgebras

Autor(es)

da Silva, Juaci Picanco ^[1] ; Murakami, Lucia S. I. ^[2] ; Shestakov, Ivan ^[2]

Afiliação do(s) autor(es)

^[1] Fed Univ Para, ICEN, Fac Math, BR-66059 Belem, Para - Brazil

^[2] Univ Sao Paulo, Dept Math, IME, BR-05311970 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 44, n. 1, p. 240-252, 2016.
• Citações Web of Science: 7

Resumo

Simple right alternative superalgebras which have a simple algebra as even part and, as odd part, an irreducible bimodule over the even part are investigated. Under these conditions, superalgebras with one dimensional even part are classified, as well as superalgebras having M-2(F) as even part and a unital irreducible bimodule over M-2(F) of dimension less than or equal to 6 as odd part. It is shown that there is only a unique non alternative simple right alternative superalgebra of the first type and, for the second type, there is a infinite family depending on a single parameter. (AU)

• Processo FAPESP: 10/50347-9 - Álgebras, representações e aplicações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático