On some structures of Leibniz algebras

TL;DR

This paper surveys key results on Leibniz algebras, highlighting their differences from Lie algebras and discussing their structural properties.

Contribution

It provides a comprehensive overview of Leibniz algebra structures and compares them with Lie algebra results, emphasizing novel aspects.

Findings

Leibniz algebras generalize Lie algebras.

Differences between Leibniz and Lie algebras are highlighted.

Important structural results for Leibniz algebras are summarized.

Abstract

Leibniz algebras are certain generalization of Lie algebras. In this paper we survey the important results in Leibniz algebras which are analogs of corresponding results in Lie algebras. In particular we highlight the differences between Leibniz algebras and Lie algebras.