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arxiv: 1807.08324 · v1 · pith:W5IQBFNBnew · submitted 2018-07-22 · 🧮 math.RA · math.RT

On classification of Filiform Hom-Lie algebras

classification 🧮 math.RA math.RT
keywords algebrasfiliformhom-lieclassificationapproachdimensionextendhom-type
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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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