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

Nicolai Reshetikhin
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Abstract

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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BibTeXRIS

Nicolai Reshetikhin. 2001-03-23. Integrability of characteristic Hamiltonian systems on simple Lie groups with standard Poisson Lie structure. https://arxiv.org/abs/math/0103147

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