2-local derivations on infinite-dimensional Lie algebras
Rings and Algebras
2019-01-15 v1
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.
Keywords
Cite
@article{arxiv.1901.04261,
title = {2-local derivations on infinite-dimensional Lie algebras},
author = {Shavkat Ayupov and Baxtiyor Yusupov},
journal= {arXiv preprint arXiv:1901.04261},
year = {2019}
}
Comments
9 pages