A gentle (without Chopping) approach to the full Kostant-toda lattice
Date
2005ISSN
1815-0659Source
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)Volume
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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 Znto GL(n, R) endowed with a structure of a pair of Lie-algebroids.