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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

Communications in Algebrajournal2010en

ABI

Annotatsiya

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.

Mavzular

Advanced Topics in Algebra Algebraic structures and combinatorial models Nonlinear Waves and Solitons

Identifikatorlar

DOI: 10.1080/00927870903451900

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