A tri-Hamiltonian formulation of the full Kostant-Toda lattice
Date
1995Source
Letters in Mathematical PhysicsVolume
34Issue
1Pages
17-24Google Scholar check
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We define Poisson structures which lead to a tri-Hamiltonian formulation for the full Kostant-Toda lattice. In addition, a hierarchy of vector fields called master symmetries are constructed and they are used to generate the nonlinear Poisson brackets and other invariants. Various deformation relations are investigated. The results are analogous to results for the finite nonperiodic Toda lattice. © 1995 Kluwer Academic Publishers.