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arXiv · 2210.14626

Local derivations on the Lie algebra $W(2,2)$

Qingyan Wu·Shoulan Gao·Dong Liu
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Abstract

The present paper is devoted to studying local derivations on the Lie algebra $W(2,2)$ which has some outer derivations. Using some linear algebra methods in \cite{CZZ} and a key construction for $W(2,2)$ we prove that every local derivation on $W(2, 2)$ is a derivation. As an application, we determine all local derivations on the deformed $\mathfrak{bms}_3$ algebra.

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Qingyan Wu, Shoulan Gao, Dong Liu. 2022-10-26. Local derivations on the Lie algebra $W(2,2)$. https://doi.org/10.1080/03081087.2022.2160426

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