The centre of the graph and moduli algebras at roots of 1

The structure of the centres Z(L-g) and Z(M-g) of the graph algebra L-g(sl( 2)) and the moduli algebra M-g(sl(2)) is studied at roots of 1. It it shown that Z(L-g) can be endowed with the structure of the Poisson graph algebra . The elements of Spec(Z(M-g)) are shown to satisfy the defining relation f or the holonomies of a flat connection along the cycles of a Riemann surfac e. The irreducible representations of the graph algebra are constructed.