Local derivations of semisimple Leibniz algebras

Ivan Kaygorodov; Karimbergen Kudaybergenov; Inomjon Yuldashev

doi:10.46298/cm.9274

Local derivations of semisimple Leibniz algebras

Ivan Kaygorodov
, Karimbergen Kudaybergenov
, Inomjon Yuldashev

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

16 Scopus citations

Abstract

We prove that every local derivation on a complex semisimple finite-dimensional Leibniz algebra is a derivation.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Communications in Mathematics
Volume	30
Issue number	2
DOIs	https://doi.org/10.46298/cm.9274
State	Published - 2022
Externally published	Yes

Keywords

Leibniz algebra
Lie algebra
local derivation
semisimple algebra
simple algebra

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@article{02f5374489ff44faacd3ea7446aa54a0,

title = "Local derivations of semisimple Leibniz algebras",

abstract = "We prove that every local derivation on a complex semisimple finite-dimensional Leibniz algebra is a derivation.",

keywords = "Leibniz algebra, Lie algebra, local derivation, semisimple algebra, simple algebra",

author = "Ivan Kaygorodov and Karimbergen Kudaybergenov and Inomjon Yuldashev",

note = "Publisher Copyright: {\textcopyright} 2022 Ivan Kaygorodov, Karimbergen Kudaybergenov and Inomjon Yuldashev.",

year = "2022",

doi = "10.46298/cm.9274",

language = "英语",

volume = "30",

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T1 - Local derivations of semisimple Leibniz algebras

AU - Kaygorodov, Ivan

AU - Kudaybergenov, Karimbergen

AU - Yuldashev, Inomjon

PY - 2022

Y1 - 2022

N2 - We prove that every local derivation on a complex semisimple finite-dimensional Leibniz algebra is a derivation.

AB - We prove that every local derivation on a complex semisimple finite-dimensional Leibniz algebra is a derivation.

KW - Leibniz algebra

KW - Lie algebra

KW - local derivation

KW - semisimple algebra

KW - simple algebra

UR - https://www.scopus.com/pages/publications/85149894508

U2 - 10.46298/cm.9274

DO - 10.46298/cm.9274

M3 - 文章

AN - SCOPUS:85149894508

SN - 1804-1388

VL - 30

SP - 1

EP - 12

JO - Communications in Mathematics

JF - Communications in Mathematics

IS - 2

ER -

Local derivations of semisimple Leibniz algebras

Abstract

Keywords

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