  We discuss the asymptotic symmetry algebra of the Schrodinger-invariant
metrics in d+3 dimensions and its realization on finite temperature solutions
of gravity coupled to matter fields. These solutions have been proposed as
gravity backgrounds dual to non-relativistic CFTs with critical exponent z in d
space dimensions. It is known that the Schrodinger algebra possesses an
infinite-dimensional extension, the Schrodinger-Virasoro algebra. However, we
show that the asymptotic symmetry algebra of Schrodinger spacetimes is only
isomorphic to the exact symmetry group of the background. It is possible to
construct from first principles finite and integrable charges that
infinite-dimensionally extend the Schrodinger algebra but these charges are not
correctly represented via a Dirac bracket. We briefly comment on the extension
of our analysis to spacetimes with Lifshitz symmetry.
