p-Filiform Leibniz algebras of maximum length

The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p 3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform Leibniz algebras. The present work aims at the classification of complex p-fil...

ver descrição completa

Detalhes bibliográficos
Autores: Camacho Santana, Luisa María, Cañete Molero, Elisa María, Gómez Martín, José Ramón, Omirov, Bakhrom Abdazovich
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2014
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/90209
Acesso em linha:https://hdl.handle.net/11441/90209
https://doi.org/10.1016/j.laa.2014.03.004
Access Level:acceso abierto
Palavra-chave:Lie algebra
Leibniz algebra
Nilpotency
Natural gradation
Characteristic sequence
p-filiform
Gradation of maximum length
Descrição
Resumo:The descriptions (up to isomorphism) of naturally graded p-filiform Leibniz algebras and p-filiform (p 3) Leibniz algebras of maximum length are known. In this paper we study the gradation of maximum length for p-filiform Leibniz algebras. The present work aims at the classification of complex p-filiform (p 4) Leibniz algebras of maximum length.