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A gentle (without Chopping) approach to the full Kostant-toda lattice

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2005) 1
DOI: 10.3842/SIGMA.2005.010
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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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Damianou, P. A., & Magri, F. (2005). A gentle (without Chopping) approach to the full Kostant-toda lattice. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 1. https://doi.org/10.3842/SIGMA.2005.010

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