UNIVERSAL DRINFELD-SOKOLOV REDUCTION AND MATRICES OF COMPLEX SIZE

We construct affinization of the algebra gl(lambda) of ''complex size' ' matrices, that contains the algebras (g) over cap l(n) for integral values of the parameter. The Drinfeld-Sokolov Hamiltonian reduction of the algebra (g) over cap l(lambda) results in the quadratic Gelfand-D ickey structure on the Poisson-Lie group of all pseudodifferential ope rators of complex order. This construction is extended to the simultan eous deformation of orthogonal and symplectic algebras which produces self-adjoint operators, and it has a counterpart for the Toda lattices with fractional number of particles.