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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148655 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862664628572520448 |
|---|---|
| author | Avan, J. Ragoucy, E. |
| author_facet | Avan, J. Ragoucy, E. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T15:14:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148655 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:14:12Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure Avan, J. Ragoucy, E. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148655 |
| work_keys_str_mv | AT avanj rationalcalogeromosermodelexplicitformandrmatrixofthesecondpoissonstructure AT ragoucye rationalcalogeromosermodelexplicitformandrmatrixofthesecondpoissonstructure |