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arxiv: nlin/0511039 · v1 · submitted 2005-11-18 · 🌊 nlin.SI · math-ph· math.MP

A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice

classification 🌊 nlin.SI math-phmath.MP
keywords approachfullkostant-todalatticesystemalgorithmbi-hamiltonianchopping
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In this paper we propose a new algorithm for obtaining the rational integrals of the full Kostant-Toda lattice. This new approach is based on a reduction of a bi-Hamiltonian system on gl(n,R). This system was obtained by reducing the space of maps from Z_n to GL(n,R) endowed with a structure of a pair of Lie-algebroids.

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