The dynamical twisting and nondynamical r-matrix structure of elliptic Ruijsenaars-Schneider model

Abstract

From the dynamical twisting of the classical r-matrix, we obtain a new Lax operator for the elliptic Ruijsenaars-Schneider model (cf. Ruijsenaars'). The corresponding r-matrix is shown to be the classical Zn-symmetric elliptic r-matrix, which is the same as that obtained in the study of the nonrelativistic version---the An-1 Calogero-Moser model.

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