On the Liouville-Arnold integrable flows related with quantum algebras   and their Poissonian representations
  Based on the structure of Casimir elements associated with general Hopf algebras there are constructed Liouville-Arnold integrable flows related with naturally induced Poisson structures on arbitrary co-algebra and their deformations. Some interesting special cases including the oscillatory Heisenberg-Weil algebra related co-algebra structures and adjoint with them integrable Hamiltonian systems are considered. 
A. M. Samoilenko, Y.A. Prykarpatsky, D.L. Blackmore and A. K.   Prykarpatsky