A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice
Pantelis A. Damianou, Franco Magri
Abstract
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 Zn to GL(n,R) endowed with a structure of a pair of Lie-algebroids.
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