  The chiral Wess-Zumino-Novikov-Witten (WZNW) model provides the simplest
class of rational conformal field theories which exhibit a non-abelian
braid-group statistics and an associated "quantum symmetry". The canonical
derivation of the Poisson-Lie symmetry of the classical chiral WZNW theory
(originally studied by Faddeev, Alekseev, Shatashvili and Gawedzki, among
others) is reviewed along with subsequent work on a covariant quantization of
the theory which displays its quantum group symmetry.
