2-Local derivations of infinite-dimensional Lie algebras-Reference-Cited by-同舟云学术

2-Local derivations of infinite-dimensional Lie algebras

Published:2019-07-12 Issue:05 Volume:19 Page:2050100
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Ayupov Shavkat¹²,Yusupov Baxtiyor²

Affiliation:

1. V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 81, Mirzo Ulughbek Street, 100170, Tashkent, Uzbekistan

2. National University of Uzbekistan, 4, University Street, 100174, Tashkent, Uzbekistan

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498820501005

Reference9 articles.

1. 2-Local automorphisms on finite-dimensional Lie algebras

2. 2-Local derivations on finite-dimensional Lie algebras

3. 2-Local automorphisms of finite-dimensional simple Lie algebras

4. SUR UNE CLASSE D'ALGEBRES DE LIE DE DIMENSION INFINIE

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