Some three-dimensional non-nilpotent Leibniz algebras: automorphism groups

TL;DR

This paper investigates the automorphism groups of specific three-dimensional non-nilpotent Leibniz algebras, providing detailed structural insights into these algebraic objects.

Contribution

It characterizes the automorphism groups of two classes of non-nilpotent Leibniz algebras of dimension three, expanding understanding of their symmetries.

Findings

Explicit descriptions of automorphism groups for the two algebra types

Structural classifications of these automorphism groups

Enhanced understanding of non-nilpotent Leibniz algebra symmetries

Abstract

The article presents the structure of the automorphism groups of two types of non-nilpotent Leibniz algebras with a dimension of 3.