2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78490We generalize the BRS method for the (finite-dimensional) quantum gauge theory involved in the zero modes of the monodromy extended SU(2) WZNW model. The generalization consists of a nilpotent operator Q such that $Q^h=0$ ($h=k+2=2,3,...$ being the height of the current algebra representation) acting on an extended state space. The physical subquotient is identified with the direct sum $\oplusinf^{h-1}_{n=1}\ker(Q^n)/\im(Q^{h-n})$.24 pages, AMSLaTeX, available at http://qcd.th.u-psud.frQuantum AlgebraMathematical Physicstext