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

2001/03/23 by Nicolai Reshetikhin, Reshetikhin, Nicolai
Mathematics · #22E70 #37J35 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:22E70 #msc:37J35

paper · pdf · doi:10.48550/arxiv.math/0103147

35 pages

arxiv created 2001/03/23 · arxiv updated 2009/11/30

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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