Leibniz Algebras: Structure and Classification is designed to introduce the reader to the
theory of Leibniz algebras. Leibniz algebra is the generalization of Lie algebras. These …

This paper is devoted to study local and 2-local derivations and automorphism of complex
finite-dimensional simple Leibniz algebras. We show that all local derivations and 2-local …

In this paper we describe finite-dimensional complex Leibniz algebras whose quotient
algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie …

The article aims to study the classification problem of low-dimensional complex filiform
Leibniz algebras. It is known that filiform Leibniz algebras come out from two sources. The …

Full article: On Isomorphisms and Invariants of Finite Dimensional Complex Filiform Leibniz
Algebras Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

Full article: Classification of a subclass of low-dimensional complex filiform Leibniz algebras
Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra.
We choose a basis with respect to which the multiplication table has a simple form. In low …

In this work we prove that in classifying of filiform Leibniz algebras whose naturally graded
algebra is a non-Lie algebra, it suffices to consider some special basis transformations …

In this paper, we continue the description of solvable Leibniz algebras whose nilradical is a
filiform algebra. In fact, solvable Leibniz algebras whose nilradical is a naturally graded …

Leibniz algebras are certain generalization of Lie algebras. In this paper we give the
classification of $5-$ dimensional complex non-Lie nilpotent Leibniz algebras. We use the …