Local derivation on the Schr{ö}dinger Lie algebra in $(n+1)$-dimensional space-time

Abstract: This paper studies local derivations on the Schr{\"o}dinger algebra $\ms_n$ in $(n+1)$-dimensional space-time of Schr{\"o}dinger Lie groups for any integer $n$. The purpose of this work is to prove that every local derivation on $\ms_n$ is a derivation.