  The amplitude of a Compton-like process nu_i gamma^* -> nu_j gamma^* with
virtual photons is calculated in the standard GWS theory with lepton mixing.
The contribution of this process to the high energy neutrino scattering on the
nucleus with single photon radiation nu N -> nu N gamma is discussed. The
bremsspectrum and the total cross-section are estimated in the leading log
approximation.
