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On classification of Filiform Hom-Lie algebras

Published 22 Jul 2018 in math.RA and math.RT | (1807.08324v1)

Abstract: The purpose of this paper is to introduce and study nilpotent and filiform Hom-Lie algebras. Moreover, we extend Vergne and Khakimdjanov's approach to Hom-type algebras and provide a classification of filiform Hom-Lie algebras of dimension $n,n\leq7$.

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