A systematic method to construct N-body integrable systems is introduced by means of phase space realizations of universal enveloping Hopf algebras. A particular realization for the so(2, 1) case (Gaudin system) is analysed and an integrable quantum deformation is constructed by using quantum algebras as Poisson-Hopf symmetries.
Ballesteros A, Corsetti M, & Ragnisco O (1996). N-dimensional classical integrable systems from Hopf algebras. CZECHOSLOVAK JOURNAL OF PHYSICS, 46(12), 1153-1163.