1. It is shown that there can be induced radiative polarization of electrons along a magnetic field if they are irradiated by an electromagnetic wave in resonance with the difference between the electron energy levels in the field and polarized in the plane parallel to the field. 2. The influence of a homogeneous magnetic field on weak processes is considered. It is shown that it induces an asymmetry of the angular distribution of neutrino pairs generated in the field and modifies the angular distribution of particles in processes in which one neutrino is produced. Possible effects of the asymmetry are pointed out. 1. In [1], we showed that in a magnetic field the magnetic moments of most electrons must be aligned parallel to the magnetic field by virtue of synchrotron radiation, i.e., an initially unpolarized electron beam must become polarized with the passage of time. This effect was then considered in one way in [2] (see also [3]) and in another in [4]. I should here like to say a few further words about the interpretation of this effect of spontaneous radiative polarization (SRP), since one has hitherto encountered assertions to the effect that the phenomenon arises "... as a result of quantum "litter" ... " - see [3], p. 302. But with this one cannot agree (keeping the accepted physical interpretation of quantum "litter") if for no other reason than the following fact. If, for example, we eliminate the longitudinal (relative to the homogeneous magnetic field) motion of the electrons by going over into an appropriate frame of reference and we consider the emission by the electrons of photons at right angles to the field B, then the photons with ~-type polarization, i.e., with electric vector in a plane containing the field B, will give rise to the SRP effect, while the photons polarized in the plane perpendicular to the field B, i.e., with ~-type polarization, will not lead to the SRP effect. This is explained by the fact that the rearrangement of the magnetic moments (into an energetically more advantageous state) can occur in principle only in spin-flip electron transitions, which are realized, as is well known, only for interactions V that do not commute with the operator [I3, which explicitly distinguishes the polarization states of an electron along the field B and in the opposite direction to it (here, II3=ma3-~p2[aP])~. It is readily seen that in the example given above the interaction V v of an electron with photons having v-type polarization will not commute with [I3, while [V~H,]=0, i.e., the transverse emission of z-type photons will be spin-flipless, from which the corresponding consequences follow. What we have said permits the general conclusion that the SRP phenomenon in a magnetic field will occur for any interaction V that does not commute with U 3. Thus, in [5], we proved the possibility of polarization of electrons in the direction opposite to the field through synchrotron emission of neutrino pairs. In the case of gravitational synchrotron radiation (in the weak field approximation, when V='/2~z~h~Pk, where hnk is the transverse-trans verse part of the tensor of the free gravitational field, a n are the Dirac matrices, and Pk are the operators of the generalized electron momentum in the field B), the probabilities w(~' ) of spin-flip electron transitions in the nonrelativistic and relativistic limits have, respectively, the form