  We consider the specialization to spatially homogenous solutions of the
  Jacobson formulation of N=1 canonical supergravity in terms of Ashtekar's new
variables.
  We find that the classical Poisson algebra of the supersymmetry constraints
is preserved by this specialization only for Bianchi type A models. The
quantization of supersymmetric Bianchi type A models is carried out in the
triad representation. We find the physical states of this quantum theory. Since
we are missing a suitable inner product on these physical states, our results
are only formal.
