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arXiv · 2007.07746

2-local derivations on the Jacobson-Witt algebras in prime characteristic

Yufeng Yao·Kaiming Zhao
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Abstract

This paper initiates the study of 2-local derivations on Lie algebras over fields of prime characteristic. Let $\mathfrak{g}$ be a simple Jacobson-Witt algebra $W_n$ over a field of prime characteristic $p$ with cardinality no less than $p^n$. In this paper, we study properties of 2-local derivations on $\mathfrak{g}$, and show that every 2-local derivation on $\mathfrak{g}$ is a derivation.

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Yufeng Yao, Kaiming Zhao. 2020-07-15. 2-local derivations on the Jacobson-Witt algebras in prime characteristic. https://arxiv.org/abs/2007.07746

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