BOSONIC REPRESENTATIONS OF YANGIAN DOUBLE DYH(G) WITH G=GL(N), SL(N)

On the basis of the 'RTT = TTR' formalism, we introduce the quantum do uble of the Yangian Y-h(g) for g = gl(N), sl(N) with a central extensi on. The Gauss decomposition of the T-matrices gives us the so-called D rinfel'd generators. Using these generators, we present some examples of both finite- and infinite-dimensional representations that are quit e natural deformations of their corresponding affine counterpart.