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Algebra i Analiz, 1994, Volume 6, Issue 2, Pages 227–237 (Mi aa444)  

This article is cited in 15 scientific papers (total in 15 papers)

Research Papers

Dynamic r-matrices for the elliptic Calogero–Moser model

E. K. Sklyaninab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Laboratoire de Physique Théorique et Hautes Energies, Université Pierre et Marie Curie
Received: 20.01.1994
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: E. K. Sklyanin, “Dynamic r-matrices for the elliptic Calogero–Moser model”, Algebra i Analiz, 6:2 (1994), 227–237; St. Petersburg Math. J., 6:2 (1995), 397–406
Citation in format AMSBIB
\Bibitem{Skl94}
\by E.~K.~Sklyanin
\paper Dynamic $r$-matrices for the elliptic Calogero--Moser model
\jour Algebra i Analiz
\yr 1994
\vol 6
\issue 2
\pages 227--237
\mathnet{http://mi.mathnet.ru/aa444}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1290827}
\zmath{https://zbmath.org/?q=an:0823.58020}
\transl
\jour St. Petersburg Math. J.
\yr 1995
\vol 6
\issue 2
\pages 397--406
Linking options:
  • https://www.mathnet.ru/eng/aa444
  • https://www.mathnet.ru/eng/aa/v6/i2/p227
  • This publication is cited in the following 15 articles:
    1. Pusztai B.G., “on the Classical R-Matrix Structure of the Rational Bcn Ruijsenaars-Schneider-Van Diejen System”, Nucl. Phys. B, 900 (2015), 115–146  crossref  isi
    2. A. V. Zotov, A. V. Smirnov, “Modifications of bundles, elliptic integrable systems, and related problems”, Theoret. and Math. Phys., 177:1 (2013), 1281–1338  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. Igor V. Komarov, Andrey V. Tsiganov, “On Classical r-Matrix for the Kowalevski Gyrostat on so(4)”, SIGMA, 2 (2006), 012, 9 pp.  mathnet  crossref  mathscinet  zmath
    4. Fring, A, “Non-crystallographic reduction of generalized Calogero–Moser models”, Journal of Physics A-Mathematical and General, 39:5 (2006), 1115  crossref  mathscinet  zmath  adsnasa  isi
    5. Braden, HW, “Classical r-matrices and the Feigin-Odesskii algebra via Hamiltonian and Poisson reductions”, Journal of Physics A-Mathematical and General, 36:25 (2003), 6979  crossref  mathscinet  zmath  adsnasa  isi
    6. Mangazeev, VV, “Separation of variables for the A(3) elliptic Calogero–Moser system”, Journal of Physics A-Mathematical and General, 34:19 (2001), 4183  crossref  mathscinet  zmath  adsnasa  isi
    7. Feher, L, “The non-dynamical r-matrices of the degenerate Calogero–Moser models”, Journal of Physics A-Mathematical and General, 33:43 (2000), 7739  crossref  mathscinet  zmath  adsnasa  isi
    8. Hadjiivanov, LK, “Hecke algebraic properties of dynamical R-matrices. Application to related quantum matrix algebras”, Journal of Mathematical Physics, 40:1 (1999), 427  crossref  mathscinet  zmath  adsnasa  isi
    9. Braden, HW, “A conjectured R-matrix”, Journal of Physics A-Mathematical and General, 31:7 (1998), 1733  crossref  mathscinet  zmath  adsnasa  isi
    10. G. E. Arutyunov, S. A. Frolov, L. O. Chekhov, “R-matrix quantization of the elliptic Ruijsenaars–Schneider model”, Theoret. and Math. Phys., 111:2 (1997), 536–562  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    11. A. V. Marshakov, “On integrable systems and supersymmetric gauge theories”, Theoret. and Math. Phys., 112:1 (1997), 791–826  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    12. Kuznetsov, VB, “Separation of variables for the Ruijsenaars system”, Communications in Mathematical Physics, 189:3 (1997), 855  crossref  mathscinet  zmath  adsnasa  isi
    13. Hasegawa, K, “Ruijsenaars' commuting difference operators as commuting transfer matrices”, Communications in Mathematical Physics, 187:2 (1997), 289  crossref  mathscinet  zmath  adsnasa  isi
    14. Kuznetsov, VB, “Separation of variables for the A(2) Ruijsenaars model and a new integral representation for the A(2) Macdonald polynomials”, Journal of Physics A-Mathematical and General, 29:11 (1996), 2779  crossref  mathscinet  zmath  adsnasa  isi
    15. A. V. Keller, “Otnositelno spektralnaya teorema”, Vestnik ChelGU, 1996, no. 3, 62–66  mathnet
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    Алгебра и анализ St. Petersburg Mathematical Journal
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