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arXiv · 1901.04261

2-local derivations on infinite-dimensional Lie algebras

Shavkat Ayupov·Baxtiyor Yusupov
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Abstract

The present paper is devoted to study 2-local derivations on infinite-dimensional Lie algebras over a field of characteristic zero. We prove that all 2-local derivations on the Witt algebra as well as on the positive Witt algebra are (global)derivations, and give an example of infinite-dimensional Lie algebra with a 2-local derivation which is not a derivation.

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Shavkat Ayupov, Baxtiyor Yusupov. 2019-01-14. 2-local derivations on infinite-dimensional Lie algebras. https://arxiv.org/abs/1901.04261

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