GENERAL STATE-SPACES FOR BRST QUANTIZATIONS

Some properties of both bosonic and fermionic generalized state spaces for BRST quantizations are given. It is for example shown that bosonic indefinite metric state spaces require wave function representations on euclidean coordinate spaces, and that Lorentz covariant wave functions on Minkowski space require imaginary indefinite metric state spaces. These representations are suggested to make a previously proposed mapping for BRST invariant states to physical Hilbert states consistent.