2-local derivations on infinite-dimensional Lie algebras

2019/01/14 by Ayupov, Shavkat, Yusupov, Baxtiyor · 1 citation
#17A32 #17B10 #17B30 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1901.04261

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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