We analyze the Hilbert space structure of the isomorphic gauge noninvariant
and gauge-invariant bosonized formulations of chiral QCD, for the particul
ar case of the Jackiw-Rajaraman parameter a = 2. The BRST subsidiary condit
ions are found not to provide a sufficient criterium for defining physical
states in the Hilbert space and additional superselection rules must be tak
en into account. We examine the effect of the use of a redundant field alge
bra in deriving basic properties of the model. We also discuss the constrai
nt structure of the gauge-invariant formulation and show that there are onl
y primary constraints, and they are first-class.