A GENERAL-SOLUTION OF THE BV-MASTER EQUATION AND BRST FIELD-THEORIES

For a class of first order gauge theories it was shown that the proper solution of the BV-master equation can be obtained straightforwardly. Here we present the general condition which the gauge generators shou ld satisfy to conclude that this construction is relevant. The general procedure is illustrated by its application to the Chern-Simons theor y in any odd dimension. Moreover, it is shown that this formalism is a lso applicable to BRST field theories when one replaces the role of th e exterior derivative with the BRST charge of first quantization.