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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 079, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.079 (Mi sigma756) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Rational Calogero–Moser model: explicit form and $r$-matrix of the second Poisson structure

Jean Avana, Eric Ragoucyb

a Laboratoire de Physique Théorique et Modélisation, Université de Cergy-Pontoise (CNRS UMR 8089), Saint-Martin 2, 2, av. Adolphe Chauvin, F-95302 Cergy-Pontoise Cedex, France
b LAPTH Annecy le Vieux, CNRS and Université de Savoie, 9 chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex, France
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DOI: https://doi.org/10.3842/SIGMA.2012.079
Abstract: 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.
Keywords: classical integrable systems; hierarchy of Poisson structures; dynamical reflection equation.
Received: July 24, 2012; in final form October 17, 2012; Published online October 26, 2012
Bibliographic databases:
Document Type: Article
MSC: 81R12; 16T15; 16T25
Language: English
Citation: Jean Avan, Eric Ragoucy, “Rational Calogero–Moser model: explicit form and $r$-matrix of the second Poisson structure”, SIGMA, 8 (2012), 079, 13 pp.
Citation in format AMSBIB
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\by Jean Avan, Eric Ragoucy
\paper Rational Calogero--Moser model: explicit form and $r$-matrix of the second Poisson structure
\jour SIGMA
\yr 2012
\vol 8
\papernumber 079
\totalpages 13
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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