A tri-Hamiltonian formulation of the full Kostant-Toda lattice |
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Authors: | Pantelis A Damianou Paschalis Paschalis and Christodoulos Sophocleous |
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Institution: | (1) Department of Mathematics and Statistics, University of Cyprus, PO Box 537, Nicosia, Cyprus |
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Abstract: | 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. |
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Keywords: | 58F07 |
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