  The influence of microwave irradiation on dissipative and Hall resistance in
high-quality bilayer electron systems is investigated experimentally. We
observe a deviation from odd symmetry under magnetic field reversal in the
microwave-induced Hall resistance $\Delta R_{xy}$ whereas the dissipative
resistance $\Delta R_{xx}$ obeys even symmetry. Studies of $\Delta R_{xy}$ as a
function of the microwave electric field and polarization exhibit a strong and
non-trivial power and polarization dependence. The obtained results are
discussed in connection to existing theoretical models of microwave-induced
photoconductivity.
