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arXiv · 1405.5930

On Structure and Central Extensions of $(n+1)$-Lie Algebras Induced by $n$-Lie Algebras

Abdennour Kitouni·Abdenacer Makhlouf
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Abstract

The purpose of this paper is to investigate $(n+1)$-Lie algebras induced by $n$-Lie algebras and trace maps. We highlight a comparison of their structure properties (solvability, nilpotency) and the cohomology groups as well as central extensions. Moreover, we provide for dimensions $n$, $n+1$ and $n+2$, the classification of $n$-Lie algebras which are induced by $(n-1)$-Lie algebras.

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Abdennour Kitouni, Abdenacer Makhlouf. 2014-05-22. On Structure and Central Extensions of $(n+1)$-Lie Algebras Induced by $n$-Lie Algebras. https://arxiv.org/abs/1405.5930

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