Abstract
Spin- gauge fields are quantized in an irreducible way using both the BRST and BRST-anti-BRST methods. To this end, we transform the reducible generating set into an irreducible one, such that the physical observables corresponding to these two formulations coincide. The gauge-fixing procedure emphasizes, on the one hand, the differences between our procedure and the results obtained in the literature and, on the other hand, the equivalence between our BRST and BRST-anti-BRST approaches.