Characteristic systems on Poisson Lie groups and their quantization (Q2709058)

The paper is an interesting overview of basic concepts and results concerning integrable systems based on Poisson Lie groups. In subsequent lectures the author considers integrable systems in Hamiltonian mechanics, factorizable Lie bialgebras and Poisson Lie groups, the double of a Lie bialgebra and a Poisson Lie group, symplectic leaves in Poisson Lie groups, characteristic integrable systems. Special attention is paid to characteristic systems on simple Lie groups with standard Poisson Lie structure and to their quantization. Coxeter-Toda systems are described as examples.NEWLINENEWLINEFor the entire collection see [Zbl 0952.00031].