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

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...

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Bibliographic Details
Main Authors: Pantelis A. Damianou, Franco Magri
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2005-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2005/Paper010/