  A recent proposal by Kaplan for a chiral gauge theory on the lattice is
tested with background gauge fields. The spectrum of the finite lattice
Hamiltonian is calculated and the existence of a chiral fermion is
demonstrated. Lattice doublers are found to decouple. The flavor anomalies,
which are in agreement with the continuum anomaly relation, are obeserved on a
finite lattice. Non-trivial anomaly cancellation is observed in a chiral gauge
current.
