On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations

Samoilenko, A. M.; Prykarpatsky, Y. A.; Blackmore, D. L.; Prykarpatsky, A. K.

On the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representations

Authors

Description

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.
12 pages