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
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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