2-Local derivations on finite-dimensional semi-simple Lie algebras

Citation

Ayupov, Shavkat and Kudaybergenov, Karimbergen and Sattarovich, Rakhimov Isamiddin (2015) 2-Local derivations on finite-dimensional semi-simple Lie algebras. Linear Algebra and Its Applications, 474. pp. 1-11. ISSN 0024-3795; ESSN: 1873-1856

Abstract

We prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is a derivation. We also show that a finite-dimensional nilpotent Lie algebra L with dim L ≥ 2 admits a 2-local derivation which is not a derivation.

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Additional Metadata

Item Type:	Article
Divisions:	Institute for Mathematical Research
DOI Number:	https://doi.org/10.1016/j.laa.2015.01.016
Publisher:	Elsevier
Keywords:	Semi-simple Lie algebra; Nilpotent algebra; Derivation; 2-Local derivation
Depositing User:	Mohd Hafiz Che Mahasan
Date Deposited:	13 May 2016 08:13
Last Modified:	13 May 2016 08:14
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.laa.2015.01.016
URI:	http://psasir.upm.edu.my/id/eprint/43451
Statistic Details:	View Download Statistic

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