Semisimple Leibniz algebras, their derivations and automorphisms

Shavkat Ayupov; Karimbergen Kudaybergenov; Bakhrom Omirov; Kaiming Zhao

doi:10.1080/03081087.2019.1567674

Semisimple Leibniz algebras, their derivations and automorphisms

Shavkat Ayupov
, Karimbergen Kudaybergenov
, Bakhrom Omirov^*
, Kaiming Zhao

^*Corresponding author for this work

Academy of Sciences of the Republic of Uzbekistan
Karakalpak State University
National University of Uzbekistan named after Mirzo Ulugbek
Wilfrid Laurier University
Hebei Normal (Teachers) University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The present paper is devoted to the description of the structures of finite-dimensional semisimple Leibniz algebras over complex numbers, their derivations and automorphisms.

Original language	English
Pages (from-to)	2005-2019
Number of pages	15
Journal	Linear and Multilinear Algebra
Volume	68
Issue number	10
DOIs	https://doi.org/10.1080/03081087.2019.1567674
State	Published - 2 Oct 2020
Externally published	Yes

Keywords

Leibniz algebra
Lie algebra
M. Chebotar
automorphism
derivation
irreducible module
semisimple algebra
simple algebra

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10.1080/03081087.2019.1567674

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title = "Semisimple Leibniz algebras, their derivations and automorphisms",

abstract = "The present paper is devoted to the description of the structures of finite-dimensional semisimple Leibniz algebras over complex numbers, their derivations and automorphisms.",

keywords = "Leibniz algebra, Lie algebra, M. Chebotar, automorphism, derivation, irreducible module, semisimple algebra, simple algebra",

author = "Shavkat Ayupov and Karimbergen Kudaybergenov and Bakhrom Omirov and Kaiming Zhao",

note = "Publisher Copyright: {\textcopyright} 2019 Informa UK Limited, trading as Taylor \& Francis Group.",

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AU - Ayupov, Shavkat

AU - Kudaybergenov, Karimbergen

AU - Omirov, Bakhrom

AU - Zhao, Kaiming

PY - 2020/10/2

Y1 - 2020/10/2

N2 - The present paper is devoted to the description of the structures of finite-dimensional semisimple Leibniz algebras over complex numbers, their derivations and automorphisms.

AB - The present paper is devoted to the description of the structures of finite-dimensional semisimple Leibniz algebras over complex numbers, their derivations and automorphisms.

KW - Leibniz algebra

KW - Lie algebra

KW - M. Chebotar

KW - automorphism

KW - derivation

KW - irreducible module

KW - semisimple algebra

KW - simple algebra

UR - https://www.scopus.com/pages/publications/85060482553

U2 - 10.1080/03081087.2019.1567674

DO - 10.1080/03081087.2019.1567674

M3 - 文章

AN - SCOPUS:85060482553

SN - 0308-1087

VL - 68

SP - 2005

EP - 2019

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 10

ER -

Semisimple Leibniz algebras, their derivations and automorphisms

Abstract

Keywords

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