Local derivations on the Lie algebra $W(2,2)$
Rings and Algebras
2024-03-13 v1 Mathematical Physics
math.MP
Abstract
The present paper is devoted to studying local derivations on the Lie algebra which has some outer derivations. Using some linear algebra methods in \cite{CZZ} and a key construction for we prove that every local derivation on is a derivation. As an application, we determine all local derivations on the deformed algebra.
Cite
@article{arxiv.2210.14626,
title = {Local derivations on the Lie algebra $W(2,2)$},
author = {Qingyan Wu and Shoulan Gao and Dong Liu},
journal= {arXiv preprint arXiv:2210.14626},
year = {2024}
}
Comments
Latex, 12 page, to appear in Linear Multilinear Algebra