POLYNOMIAL RELATIONS IN THE CENTER OF U(Q)(SL(N))

When the parameter of deformation q is a root of unity, the centre of U(q)(sl(N)) contains, besides the usual q-deformed Casimirs, a set of new generators, which are basically the mth powers of all the Cartan g enerators of U(q)(sl(N)). All these central elements are, however, not independent. In this Letter, generalizing the well-known case of U(q) (sl(2)), we explicitly write polynomial relations satisfied by the gen erators of the centre. Application to the parametrization of irreducib le representations and to fusion rules are sketched.