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The solution to a generalized Toda lattice and representation theory. (English) Zbl 0433.22008

MSC:
 22E30 Analysis on real and complex Lie groups 22E60 Lie algebras of Lie groups 22E70 Applications of Lie groups to the sciences; explicit representations 70F10 $$n$$-body problems 70H99 Hamiltonian and Lagrangian mechanics 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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References:
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