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Local derivations on the Lie algebra $W(2,2)$ (2210.14626v1)
Published 26 Oct 2022 in math.RA, math-ph, and math.MP
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.