On the description of the Leibniz algebras with nilindex n-3

TL;DR

This paper classifies a specific subclass of naturally graded Leibniz algebras with a particular characteristic sequence using computational tools.

Contribution

It provides a classification of Leibniz algebras with characteristic sequence (n-3,3), advancing understanding of their structure.

Findings

Classification of Leibniz algebras with characteristic sequence (n-3,3)

Use of Mathematica for algebraic computations

Identification of structural properties of these algebras

Abstract

In this paper we present the classification of a subclass of naturally graded Leibniz algebras. These $n$-dimensional Leibniz algebras have the characteristic sequence equal to (n-3,3). For this purpose we use the software Mathematica.