A theory of population trapping in a resonant system with degenerate levels in the polarized laser radiation is developed. we are interested in the resonant transition J1=1 ›J2 = 0 because in this system the population trapping arises in the field of elliptically polarized wave due to Zeeman coherence between the magnetic sublevels m1 = -1 and m1 = +1. The theory is developed in the irreducible tensorial formalism, that allows us take into consideration the relaxations related both to the non-uniform population and the coherence between magnetic sublevels. The exact formulae for the lser induced multipole momenta (population, orientation and alignment) are obtained. Modification of population trapping at the propagation of a polarized light in a constant magnetic field is investigated.
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