Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double
G. E. Arutyunov, S. A. Frolov, P. B. Medvedev
Abstract
It is shown that the elliptic Ruijsenaars-Schneider model can be obtained from the affine Heisenberg Double by means of the Poisson reduction procedure. The dynamical r-matrix naturally appears in the construction.
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