On the basis of the structure of Casimir elements associated with general Hopf algebras, we construct Liouville-Arnold integrable flows related to naturally induced Poisson structures on an arbitrary coalgebra and their deformations. Some interesting special cases, including coalgebra structures related to the oscillatory Heisenberg-Weil algebra and integrable Hamiltonian systems adjoint to them, are considered.
|Number of pages
|Ukrainian Mathematical Journal
|Published - Jan 2004
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