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.
Download File
|
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 |
Actions (login required)
![]() |
View Item |