The Classification of Naturally Graded<i>p</i>-Filiform Leibniz Algebras
L.M. CamachoDepartamento Matemática Aplicada I , Universidad de Sevilla , Sevilla, SpainJ.R. GómezDepartamento Matemática Aplicada I , Universidad de Sevilla , Sevilla, SpainA. J. GonzálezDepartamento de Matemáticas , Universidad de Extremadura , Badajoz, SpainB. A. OmirovInstitute of Mathematics and Information Technologies , Uzbekistan Academy of Science , Tashkent, Uzbekistan
ABI
Abstract
In the present article the classification of n-dimensional naturally graded p-filiform (1 ≤ p ≤ n − 4) Leibniz algebras is obtained. A splitting of the set of naturally graded Leibniz algebras into the families of Lie and non Lie Leibniz algebras by means of characteristic sequences (isomorphism invariants) is proved.
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