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

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

2005-11-18

arxiv.org/abs/nlin/0511039v1

SIGMA 1 (2005), 010, 12 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2005.010

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 pair of
Lie-algebroids.

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