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 Znto GL(n, R) endowed with a structure of a pair of Lie-algebroids.
Damianou, P., Magri, F. (2005). A gentle (without chopping) approach to the full Kostant-Toda lattice. SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS, 1, 010 [10.3842/SIGMA.2005.010].
A gentle (without chopping) approach to the full Kostant-Toda lattice
MAGRI, FRANCO
2005
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 Znto GL(n, R) endowed with a structure of a pair of Lie-algebroids.
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