  We consider production of a e^+e^- pair by a high-energy photon in the field
of a strong laser wave. A probability of this process for circularly or
linearly polarized laser photons and for arbitrary polarization of all other
particles is calculated. We obtain the complete set of functions which describe
such a probability in a compact invariant form. Besides, we discuss in some
detail the polarization effects in the kinematics relevant to the problem of
electron-photon conversion at photon-photon and electron-photon colliders.
