Elliptic Ruijsenaars-Schneider and Calogero-Moser hierarchies are governed by the same r-matrix
Abstract
We demonstrate that in a certain gauge the elliptic Ruijsenaars--Schneider models admit Lax representation governed by the same dynamical r--matrix as their non--relativistic counterparts (Calogero--Moser models). This phenomenon was previously observed for the rational and hyperbolic models.
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