  We compute the dispersion curves for neutrinos propagating in an extremely
dense electroweak plasma, in the presence of very strong magnetic fields of
order $B \le M_W^2/e$. The neutrino self-energy is calculated in the one-loop
approximation. We consider only contributions of the first Landau level to the
propagator of the W-bosons, and distinguish between motion parallel or
perpendicular to the external magnetic field. We find that the neutrino
dispersion curve for parallel propagation to the field suggests a superfluid
behavior. An interesting analogy with fractional QHE is pointed out. We obtain
a neutrino effective mass which increases with the magnetic field.
