Local derivations on finite-dimensional Lie algebras

By Sh. A. Ayupov, K. Kudaybergenov. 2015

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We prove that every local derivation on a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic zero is a derivation. We also give examples of finite-dimensional nilpotent Lie algebras $\mathcal{L}$ with $\dim\mathcal{L}\geq 3$ which admit local derivations which are not derivations.

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