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

27 Jul 2016 · Bai Ruipu, Gao Yansha, Li Zhenheng ·

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.

PDF Abstract

Code

Add Remove Mark official

No code implementations yet. Submit your code now

Edit Social Preview

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

Code Edit Add Remove Mark official

Categories

Code

Add Remove Mark official