Supernovae provide a unique opportunity for large scale parity violati
on because they are dominated by neutrinos. We calculate the parity vi
olating asymmetry A of neutrino emission in a strong magnetic field. W
e assume the neutrinos elastically scatter many times from slightly po
larized neutrons. Because of the multiple interactions, A grows with t
he optical thickness of the protoneutron star and may be much larger t
han previous estimates. As a result, the neutron star could recoil at
a significant velocity.