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Bulgarian Journal of Physics
Print: 1310-0157 Online: 1314-2666
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RECOGNIZED BY THE EUROPEAN PHYSICAL SOCIETY 
Bulg. J. Phys. vol.33 no.4 (2006), pp. 261-272
Spin Calogero Models and Dynamical r-Matrices
L. Fehér1,2, B.G. Pusztai3,4
1Department of Theoretical Physics, MTA KFKI RMKI 1525 Budapest 114, P.O.B. 49, Hungary
2Department of Theoretical Physics, University of Szeged Tisza Lajos krt 84-86, H-6720 Szeged, Hungary
3Centre de recherches mathématiques, Université de Montréal C.P. 6128, succ. centre ville, Montréal, Québec, Canada H3C 3J7
4Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke W., Montréal, Québec, Canada H4B 1R6
go back1Department of Theoretical Physics, MTA KFKI RMKI 1525 Budapest 114, P.O.B. 49, Hungary
2Department of Theoretical Physics, University of Szeged Tisza Lajos krt 84-86, H-6720 Szeged, Hungary
3Centre de recherches mathématiques, Université de Montréal C.P. 6128, succ. centre ville, Montréal, Québec, Canada H3C 3J7
4Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke W., Montréal, Québec, Canada H4B 1R6
Abstract. The main point of the construction of spin Calogero type classical integrable systems based on dynamical r-matrices, developed by L.-C. Li and P. Xu, is reviewed. It is shown that non-Abelian dynamical r-matrices with variables in a reductive Lie algebra F and their Abelian counterparts with variables in a Cartan subalgebra of F lead essentially to the same models.