On the inner structure of 3-dimensional Leibniz algebras

Leonid A. Kurdachenko, Oleksandr O. Pypka, Igor Ya. Subbotin

Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all $a,b,c\in L$.…