  We give a group-theoretic interpretation of non-relativistic holography as
equivalence between representations of the Schrodinger algebra describing bulk
fields and boundary fields. Our main result is the explicit construction of the
boundary-to-bulk operators in the framework of representation theory (without
specifying any action). Further we show that these operators and the
bulk-to-boundary operators are intertwining operators. In analogy to the
relativistic case, we show that each bulk field has two boundary fields with
conjugated conformal weights. These fields are related by another intertwining
operator given by a two-point function on the boundary. Analogously to the
relativistic result of Klebanov-Witten we give the conditions when both
boundary fields are physical. Finally, we recover in our formalism earlier
non-relativistic results for scalar fields by Son and others.
