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

• Main Authors: Ayupov, Shavkat, Kudaybergenov, Karimbergen, Sattarovich, Rakhimov Isamiddin
• Format: Article
• Language: English
• Published: Elsevier 2015
• Online Access: http://psasir.upm.edu.my/id/eprint/43451/1/2.pdf; http://psasir.upm.edu.my/id/eprint/43451/

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.