A complete canonical quantization of the SU(3) Skyrme model performed in the
collective coordinate formalism in general irreducible representations. In the
case of SU(3) the model differs qualitatively in different representations. The
Wess-Zumino-Witten term vanishes in all self-adjoint representations in the
collective coordinate method for separation of space and time variables. The
canonical quantization generates representation dependent quantum mass
corrections, which can stabilize the soliton solution. The standard symmetry
breaking mass term, which in general leads to representation mixing,
degenerates to the SU(2) form in all self-adjoint representations.