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

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

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.

Bibliographic Details
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/ http://psasir.upm.edu.my/id/eprint/43451/1/2.pdf

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