The kinetics of multiplet chemically induced dynamic electron polarization (CIDEP) generation for radical pair (RP) recombination in low dimensional media (the dimensionality n less than or equal to 3) is theoretically analyzed in detail. Simple analytical expressions for the time dependent amplitude P-e(t) of the multiplet CIDEP are derived. These expressions show that P-e(t) is sensitive to the dimensionality only in the limit of weak spin dependent interaction Q and large diffusion coefficient D, when xi = root Qd(2)/D much less than 1, where d is the distance of closest approach. In the opposite limit xi > 1, the dependence P-e(Q) is universal P-e(Q)similar to root Q/(1+Lambda root Q/D), where Lambda similar to d.