2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185713It is well-known that the chiral WZNW Bloch waves satisfy a quadratic classical exchange algebra which implies the affine Kac-Moody algebra for the corresponding currents. We here obtain a direct derivation of the exchange algebra by inverting the symplectic form on the space of Bloch waves, and give a completely algorithmic construction of its generalized free field realizations that extend the classical Wakimoto realizations of the current algebra.13 pages, LaTeXHigh Energy Physics - TheoryMathematical PhysicsQuantum Algebratext