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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2005
• Main Authors: Damianou, P.A., Magri, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209350
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice / P.A. Damianou, F. Magri // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 25 назв. — англ.

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 Zn to GL(n, R) endowed with a structure of a...