An Example of Constructing Versal Deformation for Leibniz Algebras

Abstract

In this work we compute a versal deformation of the three dimensional nilpotent Leibniz algebra over $\mathbb{C}$, defined by the nontrivial brackets $[e_1,e_3]=e_2$ and $[e_3,e_3]=e_1$.

22 pages, 1 figure