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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| Дата: | 2012 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148655 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1486552019-02-19T01:27:07Z Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure Avan, J. Ragoucy, E. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/148655 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Avan, J. Ragoucy, E. |
| spellingShingle |
Avan, J. Ragoucy, E. Rational Calogero-Moser Model: Explicit Form and r-Matrix of the Second Poisson Structure Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Avan, J. Ragoucy, E. |
| author_sort |
Avan, J. |
| title |
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_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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT avanj rationalcalogeromosermodelexplicitformandrmatrixofthesecondpoissonstructure AT ragoucye rationalcalogeromosermodelexplicitformandrmatrixofthesecondpoissonstructure |
| first_indexed |
2023-05-20T17:30:58Z |
| last_indexed |
2023-05-20T17:30:58Z |
| _version_ |
1796153471508938752 |