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arXiv · 1509.04050

On $n$-ary Lie algebras of type $(r,l)$

Elizaveta Vishnyakova
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Abstract

These notes are devoted to the multiple generalization of a Lie algebra introduced by A.M.Vinogradov and M.M.Vinogradov. We compare definitions of such algebras in the usual and invariant case. Furthermore, we show that there are no simple $n$-ary Lie algebras of type $(n-1,l)$ for $l>0$.

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Elizaveta Vishnyakova. 2015-09-14. On $n$-ary Lie algebras of type $(r,l)$. https://arxiv.org/abs/1509.04050

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