[图书][B] Leibniz algebras: structure and classification

S Ayupov, B Omirov, I Rakhimov - 2019 - taylorfrancis.com
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 …

Local and 2-local derivations and automorphisms on simple Leibniz algebras

S Ayupov, K Kudaybergenov, B Omirov - Bulletin of the Malaysian …, 2020 - Springer
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 …

On Description of Leibniz Algebras Corresponding to sl 2

BA Omirov, IS Rakhimov, RM Turdibaev - Algebras and Representation …, 2013 - Springer
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 …

On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras

IS Rakhimov, SKS Husain - Linear and Multilinear algebra, 2011 - Taylor & Francis
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 …

On isomorphisms and invariants of finite dimensional complex filiform Leibniz algebras

IS Rakhimov, UD Bekbaev - Communications in Algebra, 2010 - Taylor & Francis
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 …

Classification of a subclass of low-dimensional complex filiform Leibniz algebras

IS Rakhimov, SKS Husain - Linear and Multilinear algebra, 2011 - Taylor & 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 …

On one-dimensional Leibniz central extensions of a filiform Lie algebra

IS Rakhimov, MA Hassan - Bulletin of the Australian Mathematical …, 2011 - cambridge.org
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 …

On classification of filiform Leibniz algebras

JR Gómez, BA Omirov - Algebra Colloquium, 2015 - World Scientific
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 …

Solvable Leibniz algebras with filiform nilradical

LM Camacho, BA Omirov, KK Masutova - Bulletin of the Malaysian …, 2016 - Springer
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 …

Classification of -Dimensional Complex Nilpotent Leibniz Algebras

I Demir - arXiv preprint arXiv:1706.00951, 2017 - arxiv.org
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 …