  Starting with any R-matrix with spectral parameter, obeying the Yang-Baxter
equation and a unitarity condition, we construct the corresponding infinite
dimensional quantum group U_{R} in term of a deformed oscillators algebra A_R.
The realization we present is an infinite series, very similar to a vertex
operator.
  Then, considering the integrable hierarchy naturally associated to A_{R}, we
show that U_{R} provides its integrals of motion. The construction can be
applied to any infinite dimensional quantum group, e.g. Yangians or elliptic
quantum groups.
  Taking as an example the R-matrix of Y(N), the Yangian based on gl(N), we
recover by this construction the nonlinear Schrodinger equation and its Y(N)
symmetry.
