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.
|Original language||English (US)|
|Number of pages||13|
|Journal||Ukrainian Mathematical Journal|
|State||Published - Jan 1 2004|
All Science Journal Classification (ASJC) codes