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

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