Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (372 kB) Citations (5)
References:
PDF
HTML
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
\Bibitem{AvaRag12}
\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
\mathnet{http://mi.mathnet.ru/sigma756}
\crossref{https://doi.org/10.3842/SIGMA.2012.079}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3007280}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000312374100001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869064120}
Linking options:
  • https://www.mathnet.ru/eng/sigma756
  • https://www.mathnet.ru/eng/sigma/v8/p79
    • 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
    Statistics & downloads:
    Abstract page:194
    Full-text PDF :46
    References:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024