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

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

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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.

Item Type:Article
Keyword:Semi-simple Lie algebra; Nilpotent algebra; Derivation; 2-Local derivation
Faculty or Institute:Institute for Mathematical Research
Publisher:Elsevier
DOI Number:10.1016/j.laa.2015.01.016
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.laa.2015.01.016
ID Code:43451
Deposited By: Mohd Hafiz Che Mahasan
Deposited On:13 May 2016 16:13
Last Modified:13 May 2016 16:14

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