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arXiv · 1607.08276

$(\mu, \rho, \beta)$-Extension of $3$-Lie algebras

Ruipu Bai·Yansha Gao·Zhenheng Li
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Abstract

We study an extension algebra $A$ from two given $3$-Lie algebras $M$ and $H$, and discuss the extensibility of a pair of derivations, one from the derivation algebra of $M$ and the other from that of $H$, to a derivation of $A$. In particular, we give conditions for such an extension to be a $3$-Lie algebra, and provide necessary and sufficient conditions of the pair of derivations to be extendable.

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Ruipu Bai, Yansha Gao, Zhenheng Li. 2016-07-27. $(\mu, \rho, \beta)$-Extension of $3$-Lie algebras. https://arxiv.org/abs/1607.08276

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