Description of Nine Dimensional Complex Filiform Leibniz Algebras Arising from Naturally Graded non Lie Filiform Leibniz Algebras

Abstract

The paper deals with the description of nine dimensional complex filiform Leibniz algebras arising from naturally graded non Lie complex filiform Leibniz algebras. We give an isomorphism criterion for this class. As an application of the isomorphism criterion a complete list of isomorphism classes of a subclass of filiform Leibniz algebras is presented.

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