Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure
We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/148655 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure / J. Avan, E. Ragoucy // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 32 назв. — англ. |
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Avan, J. Ragoucy, E. 2019-02-18T17:35:57Z 2019-02-18T17:35:57Z 2012 Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure / J. Avan, E. Ragoucy // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 32 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81R12; 16T15; 16T25 DOI: http://dx.doi.org/10.3842/SIGMA.2012.079 https://nasplib.isofts.kiev.ua/handle/123456789/148655 We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors. This work was sponsored by CNRS, Universit´e de Cergy-Pontoise, Universit´e de Savoie and ANR Project DIADEMS (Programme Blanc ANR SIMI1 2010-BLAN-0120-02). J.A. wishes to thank LAPTh for their kind hospitality. We thank the referees for their helpful queries. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure |
| spellingShingle |
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure Avan, J. Ragoucy, E. |
| title_short |
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure |
| title_full |
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure |
| title_fullStr |
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure |
| title_full_unstemmed |
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure |
| title_sort |
rational calogero-moser model: explicit form and r-matrix of the second poisson structure |
| author |
Avan, J. Ragoucy, E. |
| author_facet |
Avan, J. Ragoucy, E. |
| publishDate |
2012 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of the second dynamical boundary algebra previously built by the authors.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148655 |
| citation_txt |
Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure / J. Avan, E. Ragoucy // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 32 назв. — англ. |
| work_keys_str_mv |
AT avanj rationalcalogeromosermodelexplicitformandrmatrixofthesecondpoissonstructure AT ragoucye rationalcalogeromosermodelexplicitformandrmatrixofthesecondpoissonstructure |
| first_indexed |
2025-12-07T15:14:12Z |
| last_indexed |
2025-12-07T15:14:12Z |
| _version_ |
1850862943451742208 |