Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure
Abstract
Description
Phase space of a characteristic Hamiltonian system is a symplectic leaf of a factorizable Poisson Lie group. Its Hamiltonian is a restriction to the symplectic leaf of a function on the group which is invariant with respect to conjugations. It is shown in this paper that such system is always integrable.
35 pages
35 pages