This paper shows that every local derivation is a derivation in finite-dimensional Lie algebras.
The present paper is devoted to studying local derivations on the Schrödinger algebra which is a finite-dimensional, non-semisimple and non-solvable Lie algebra. We prove that every local derivation on the Schrödinger algebra is a derivation.
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Alauadinov et al. (2025) studied this question.
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