FUSION RULES FOR QUANTUM TRANSFER-MATRICES AS A DYNAMICAL SYSTEM ON GRASSMANN MANIFOLDS

We show that the set of transfer matrices of an arbitrary fusion type for an integrable quantum model obeys these bilinear functional relati ons, which are identified with an integrable dynamical system on a Gra ssmann manifold (higher Hirota, equation). The bilinear relations were previously known for a particular class of transfer matrices correspo nding to rectangular Young diagrams. We extend this result for general Young diagrams. A general solution of the bilinear equations is prese nted.