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arxiv: 1504.06980 · v1 · pith:724PQ73Nnew · submitted 2015-04-27 · 🧮 math.RA · math-ph· math.MP

On (n+1)-Hom-Lie Algebras Induced by n-Hom-Lie Algebras

classification 🧮 math.RA math-phmath.MP
keywords hom-liealgebraalgebrasinducedcentercentralcohomologyderived
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The purpose of this paper is to study the relationships between an $n$-Hom-Lie algebra and its induced $(n+1)$-Hom-Lie algebra. We provide an overview of the theory and explore the structure properties such as ideals, center, derived series, solvability, nilpotency, central extensions, and the cohomology.

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