Abstract
A new method of deriving the commutation relations for Gauss law operators is studied in anomalous gauge theories. We use the method of coadjoint orbits extensively. Instead of dealing with the Gauss law operators explicitly, we consider the Becchi-Rouet-Stora-Tyutin (BRST) operator on a coadjoint orbit associated with anomalous gauge theories. We derive a basic equation satisfied by the BRST operator. The equation for the BRST operator plays a fundamental role in our formulation and it precisely reproduces the Schwinger terms in commutation relations for the Gauss law operators.
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