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2-Local derivations of infinite-dimensional Lie algebras.

Authors :
Ayupov, Shavkat
Yusupov, Baxtiyor
Source :
Journal of Algebra & Its Applications. May2020, Vol. 19 Issue 5, pN.PAG-N.PAG. 12p.
Publication Year :
2020

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LIE algebras
*ALGEBRA

Details

Language :
English
ISSN :
02194988
Volume :
19
Issue :
5
Database :
Academic Search Index
Journal :
Journal of Algebra & Its Applications
Publication Type :
Academic Journal
Accession number :
143873230
Full Text :
https://doi.org/10.1142/S0219498820501005