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arXiv · 1508.03939

Local derivations on finite-dimensional Lie algebras

Shavkat Ayupov·Karimbergen Kudaybergenov
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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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Shavkat Ayupov, Karimbergen Kudaybergenov. 2015-08-17. Local derivations on finite-dimensional Lie algebras. https://arxiv.org/abs/1508.03939

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