On classification of complex filiform Leibniz algebras

Abstract

In this paper we prove that in classifying of complex filiform Leibniz algebras, for which its naturally graded algebra is non-Lie algebra, it suffices to consider some special basis transformations. Moreover, we establish a criterion whether given two such Leibniz algebras are isomorphic in terms of such transformations. The classification problem of filiform Leibniz algebras, for which its naturally graded algebras are non-Lie in an arbitrary dimension, is reduced to the investigation of the obtained conditions.

12 pages

Cited by in corpus (7)

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• On Classification of Finite Dimensional Complex Filiform Leibniz Algebras (PartI)
• On the classification of complex Leibniz superalgebras with characteristic sequence $(n-1,1|m_1,...,m_k)$ and nilindex $n+m$
• On one dimensional Leibniz central extensions of a naturally graded filiform Lie algebra
• On Description of Isomorphism Classes of filiform Leibniz algebras in dimensions 7 and 8
• Classification of p-adic 6-dimensional filiform Leibniz algebras by solution of x^q=a
• Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras