  The canonical quantization of the chiral Wess-Zumino-Novikov-Witten (WZNW)
monodromy matrices (both the diagonal and the general one) requires additional
numerical factors that can be attributed to renormalization. We discuss, for
G=SU(n), the field-theoretic and algebraic aspects of this phenomenon and show
that these renormalization factors are compatible with the natural definitions
of quantum determinants possessing the factorization property (i.e., the
determinant of a product is equal to the product of determinants, which is a
non-trivial fact for matrices with non-commuting entries).
