Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 3, Pages 355–369
DOI: https://doi.org/10.4213/tmf6319 (Mi tmf6319) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Integrable $sl(N,\mathbb C)$ tops as Calogero–Moser systems

A. V. Smirnov

Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (402 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6319
Abstract: We show a relation between systems of integrable tops on the algebras $sl(N,\mathbb C)$ and Calogero–Moser systems of $N$ particles. We construct classical Lax operators corresponding to these systems. We show that these operators are related to certain new trigonometric and rational solutions of the Yang–Baxter equations for the algebras $sl(N,\mathbb C)$ and give explicit formulas for $N=2,3$.
Keywords: integrable system, Euler–Arnold top, Yang–Baxter equation.
Received: 06.06.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 3, Pages 300–312
DOI: https://doi.org/10.1007/s11232-009-0024-4
Bibliographic databases:
Language: Russian
Citation: A. V. Smirnov, “Integrable $sl(N,\mathbb C)$ tops as Calogero–Moser systems”, TMF, 158:3 (2009), 355–369; Theoret. and Math. Phys., 158:3 (2009), 300–312
Citation in format AMSBIB
\Bibitem{Smi09}
\by A.~V.~Smirnov
\paper Integrable $sl(N,\mathbb C)$ tops as Calogero--Moser systems
\jour TMF
\yr 2009
\vol 158
\issue 3
\pages 355--369
\mathnet{http://mi.mathnet.ru/tmf6319}
\crossref{https://doi.org/10.4213/tmf6319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2547446}
\zmath{https://zbmath.org/?q=an:1175.70006}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2009TMP...158..300S}
\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 158
\issue 3
\pages 300--312
\crossref{https://doi.org/10.1007/s11232-009-0024-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264844000003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-63849220192}
Linking options:
  • https://www.mathnet.ru/eng/tmf6319
  • https://doi.org/10.4213/tmf6319
  • https://www.mathnet.ru/eng/tmf/v158/i3/p355
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024