Article

2-Local derivations of infinite-dimensional Lie algebras

Shavkat AyupovNational University of Uzbekistan, 4, University Street, 100174, Tashkent, UzbekistanBakhtiyor YusupovNational University of Uzbekistan, 4, University Street, 100174, Tashkent, Uzbekistan

Journal of Algebra and Its Applicationsjournal2019en

ABI

Abstract

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

Topics

Algebraic structures and combinatorial models Advanced Topics in Algebra Nonlinear Waves and Solitons

Identifiers

DOI: 10.1142/s0219498820501005

Citations and references

Cited by 9 9 references

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