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Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Applied Mathematics, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), connectedness of centralizers, complex Toda lattice, Hamiltonian flows, Connectedness, Torus action, Linear algebraic groups over the reals, the complexes, the quaternions, Symmetries, invariants, invariant manifolds, momentum maps, reduction, torus actions, Toda lattice
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests, Applied Mathematics, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), connectedness of centralizers, complex Toda lattice, Hamiltonian flows, Connectedness, Torus action, Linear algebraic groups over the reals, the complexes, the quaternions, Symmetries, invariants, invariant manifolds, momentum maps, reduction, torus actions, Toda lattice
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