Elliptic Ruijsenaars-Schneider model via the Poisson reduction of the Affine Heisenberg Double
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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.
latex, 15 pages, a new section is added where we show that the problem of solving the equations of motion is equivalent to the factorization problem
latex, 15 pages, a new section is added where we show that the problem of solving the equations of motion is equivalent to the factorization problem