Naturally graded quasi-filiform Leibniz algebras

Abstract: The classification of naturally graded quasi-filiform Lie algebras is known; they have the characteristic sequence where is the dimension of the algebra. In the present paper we deal with naturally graded quasi-filiform non-Lie–Leibniz algebras which are described by the characteristic sequence or . The first case has been studied in [Camacho, L.M., Gómez, J.R., González, A.J., Omirov, B.A., 2006. Naturally graded 2-filiform Leibniz Algebra and its applications, preprint, MA1-04-XI06] and now, we complete the classification of naturally graded quasi-filiform Leibniz algebras. For this purpose we use the software (the program used is explained in the last section). [Copyright &y& Elsevier]