A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations

Autor(es)

Kaygorodov, Ivan ^{[1, 2, 3]} ; Popov, Yu. ^{[2, 4]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, BR-05508 Sao Paulo - Brazil

^[2] Sobolev Inst Math, Novosibirsk - Russia

^[3] Univ Fed ABC, CMCC, Santo Andre - Brazil

^[4] Novosibirsk State Univ, Novosibirsk - Russia

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 456, p. 323-347, JUN 15 2016.
• Citações Web of Science: 5

Resumo

Moens proved that a finite-dimensional Lie algebra over a field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation. In this article we prove the analogous results for finite-dimensional Malcev, Jordan, (-1,1)-, right alternative, Zinbiel and Malcev-admissible noncommutative Jordan algebras over a field of characteristic zero. Also, we describe all Leibniz-derivations of semisimple Jordan, right alternative and Malcev algebras. (C) 2016 Elsevier Inc. All rights reserved. (AU)

• Processo FAPESP: 14/24519-8 - Derivações gerais de álgebras e superálgebras não associativas
• Beneficiário: Ivan Kaygorodov
• Modalidade de apoio: Auxílio à Pesquisa - Regular