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2-Local derivations of infinite-dimensional Lie algebras.
- 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 :
- *LIE algebras
*ALGEBRA
Subjects
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