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Naturally Graded 2-Filiform Leibniz Algebras

L.M. Camacho Departamento de Matemática Aplicada I., Universidad de Sevilla, Avda. Reina Mercedes s/n, Sevilla, SpainJ.R. Gómez Departamento de Matemática Aplicada I., Universidad de Sevilla, Avda. Reina Mercedes s/n, Sevilla, SpainA. J. González Departamento de Matemáticas, Escuela Politécnica, Universidad de Extremadura, Avda. de la Universidad s/n, Cáceras, SpainB. A. Omirov Institute of Mathematics and Information Technologies, Uzbekistan Academy of Science, F. Hodjaev str. 29, Tashkent, Uzbekistan
Communications in Algebrajournal2010en
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Annotatsiya

The Leibniz algebras appear as a generalization of the Lie algebras\n\t\t\t\t [8]. The classification of naturally graded p-filiform Lie algebras is known [3],\n\t\t\t\t [4], [5], [9]. In this work we deal with the classification of 2-filiform Leibniz\n\t\t\t\t algebras. The study of p-filiform Leibniz non Lie algebras is solved for p = 0\n\t\t\t\t (trivial) and p = 1 [1]. In this work we get the classification of naturally graded\n\t\t\t\t non Lie 2-filiform Leibniz algebras.

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