A Note On The Structure Constants of Leibniz Algebras

Abstract

Leibniz algebras are certain generalization of Lie algebras. In literature, there are many articles on low dimensional Leibniz algebras. In this note our main goal is to investigate low dimensional Leibniz algebras and we give some examples for three dimensional non-Lie Leibniz algebras. Moreover, we focus on the structure constants of Leibniz algebras and to give some properties of the structure constants of Leibniz algebras. In particular, some conditions are investigated for non-Lie Leibniz algebras.