Local derivations on finite-dimensional Lie algebras

Published 17 Aug 2015 in math.RA | (1508.03939v1)

Abstract: 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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