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arXiv · 1504.06980

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

Abdennour Kitouni·Abdenacer Makhlouf·Sergei Silvestrov
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Abstract

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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Abdennour Kitouni, Abdenacer Makhlouf, Sergei Silvestrov. 2015-04-27. On $(n+1)$-Hom-Lie Algebras Induced by $n$-Hom-Lie Algebras. https://arxiv.org/abs/1504.06980

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