  Lowest weight modules, in particular, Verma modules over the N = 1,2 super
Schrodinger algebras in (1+1) dimensional spacetime are investigated. The
reducibility of the Verma modules is analyzed via explicitly constructed
singular vectors. The classification of the irreducible lowest weight modules
is given for both massive and massless representations. A vector field
realization of the N = 1, 2 super Schrodinger algebras is also presented.
