Naturally graded 2-filiform Leibniz algebras
L.M. CamachoDepartamento de Matemática Aplicada I. , Universidad de Sevilla, Avda. Reina Mercedes s/n , Sevilla, SpainJ.R. GómezDepartamento de Matemática Aplicada I. , Universidad de Sevilla, Avda. Reina Mercedes s/n , Sevilla, SpainA. J. GonzálezDepartamento de Matemáticas , Escuela Politécnica, Universidad de Extremadura, Avda. de la Universidad s/n , Cáceras, SpainB. A. OmirovInstitute of Mathematics and Information Technologies, Uzbekistan Academy of Science, F. Hodjaev str. 29 , Tashkent, Uzbekistan
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Abstract
The Leibniz algebras appear as a generalization of the Lie algebras \cite{loday}. The classification of naturally graded $p$-filiform Lie algebras is known \cite{C-G-JM}, \cite{J.Lie.Theory}, \cite{AJM}, \cite{Ve}. In this work we deal with the classification of 2-filiform Leibniz algebras. The study of $p$-filiform Leibniz non Lie algebras is solved for $p=0$ (trivial) and $p=1$ \cite{Omirov1}. In this work we get the classification of naturally graded non Lie 2-filiform Leibniz algebras.
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