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

2020/07/15 by Yu-Feng Yao, Kaiming Zhao, Yao, Yufeng +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2007.07746

openalex publication_date 2020/07/15 · openalex created_date 2020/07/23 · openalex updated_date 2026/07/28

Abstract

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

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