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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 010, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.010 (Mi sigma10) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

Pantelis A. Damianoua, Franco Magrib

a Department of Mathematics and Statistics, University of Cyprus, 1678, Nicosia, Cyprus
b Department of Mathematics, University of Milano Bicocca, Via Corsi 58, I 20126 Milano, Italy
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DOI: https://doi.org/10.3842/SIGMA.2005.010
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 $gl(n,{\mathbb R})$. This system was obtained by reducing the space of maps from $Z_n$ to $GL(n,{\mathbb R})$ endowed with a structure of a pair of Lie-algebroids.
Keywords: full Kostant–Toda lattice; integrability; bi-Hamiltonian structure.
Received: September 22, 2005; in final form October 24, 2005; Published online October 25, 2005
Bibliographic databases:
Document Type: Article
MSC: 37J35; 70H06
Language: English
Citation: Pantelis A. Damianou, Franco Magri, “A Gentle (without Chopping) Approach to the Full Kostant–Toda Lattice”, SIGMA, 1 (2005), 010, 12 pp.
Citation in format AMSBIB
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\by Pantelis A. Damianou, Franco Magri
\paper A Gentle (without Chopping) Approach to the Full Kostant--Toda Lattice
\jour SIGMA
\yr 2005
\vol 1
\papernumber 010
\totalpages 12
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\crossref{https://doi.org/10.3842/SIGMA.2005.010}
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\zmath{https://zbmath.org/?q=an:1099.37050}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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