  We express the classical r-matrix of AdS/CFT in terms of tensor products
involving an infinite family of generators, which takes a form suggestive of
the universal expression obtained from a Yangian double. This should provide an
insight into the structure of the infinite dimensional symmetry algebra
underlying the integrability of the model, and give a clue to the construction
of its universal R-matrix. We derive the commutation relations under which the
algebra of these new generators close.
