QUANTIZATION OF INFINITELY REDUCIBLE GENERALIZED CHERN-SIMONS ACTIONSIN 2 DIMENSIONS

We investigate the quantization of the two-dimensional version of the generalized Chern-Simons actions which were proposed previously. The m odels turn out to be infinitely reducible and thus we need an infinite number of ghosts, antighosts and the corresponding antifields. The qu antized minimal actions which satisfy the master equation of Batalin a nd Vilkovisky have the same Chern-Simons form, The infinite fields and antifields an successfully controlled by the unified treatment of gen eralized fields with quaternion algebra. This is a universal feature o f generalized Chern-Simons theory and thus the quantization procedure can be naturally extended to arbitrary even dimensions.