Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure

Details Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure

2001-03-23

arxiv.org/abs/math/0103147v1

Mathematics

Quantum Algebra

35 pages

Scientific paper

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.

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