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

This paper studies local derivations on the Schr{\"o}dinger algebra 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 ₙ is a derivation.