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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2005 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209350 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708893455482880 |
|---|---|
| author | Damianou, P.A. Magri, F. |
| author_facet | Damianou, P.A. Magri, F. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T17:13:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209350 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:13:48Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice Damianou, P.A. Magri, F. |
| title | 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_short | A Gentle (without Chopping) Approach to the Full Kostant-Toda Lattice |
| title_sort | gentle (without chopping) approach to the full kostant-toda lattice |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209350 |
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