2-local Derivations Of Schr(?)dinger-Virasoro Algebra

The Schr(?)dinger-Virasoro algebra,introduced by Henkel in the context of nonequilibrium statistical physics as a byproduct of computing n-point functions covariant under the Schr(?)dinger group,is an important class of infinite-dimensional Lie algebras.It is a natural infinite-dimensional expansion of the Schr(?)dinger algebra and a generalization of the Virasoro algebra.It has wide applications in mathematics,physics,and other fields.A 2-local derivation is a nonlinear generalization of a local derivation,representing a local property.Let SV be the twisted Schr(?)dinger-Virasoro algebra.A map Δ:SV→SV is called a 2-local derivation if for all x,y∈SV,there exists a derivation Dx,y of SV such that Δ(x)=Dx,y(x)and Δ(y)=Dx,y(y).In this paper,we mainly study the 2-local derivations on the Schr(?)dinger-Virasoro algebra.We prove that every 2-local derivation on SV is a derivation.