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 Zn to GL(n, R) endowed with a structure of a...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2005 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2005
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209350 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Damianou, P.A. Magri, F. 2025-11-19T12:28:08Z 2005 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. 1815-0659 2000 Mathematics Subject Classification: 37J35; 70H06 https://nasplib.isofts.kiev.ua/handle/123456789/209350 https://doi.org/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 Zn to GL(n, R) endowed with a structure of a pair of Lie-algebroids. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice |
| spellingShingle |
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice Damianou, P.A. Magri, F. |
| title_short |
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice |
| title_full |
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice |
| title_fullStr |
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice |
| title_full_unstemmed |
A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice |
| title_sort |
gentle (without chopping) approach to the full kostant-toda lattice |
| author |
Damianou, P.A. Magri, F. |
| author_facet |
Damianou, P.A. Magri, F. |
| publishDate |
2005 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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 pair of Lie-algebroids.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209350 |
| citation_txt |
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. |
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| first_indexed |
2025-12-07T17:13:48Z |
| last_indexed |
2025-12-07T17:13:48Z |
| _version_ |
1850886066763988992 |