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

Bo-yu Hou·Wen-Li Yang
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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 $Z_n$-symmetric elliptic r-matrix, which is the same as that obtained in the study of the nonrelativistic version---the $A_{n-1}$ Calogero-Moser model.

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BibTeXRIS

Bo-yu Hou, Wen-Li Yang. 1999-09-15. The dynamical twisting and nondynamical r-matrix structure of elliptic Ruijsenaars-Schneider model. https://doi.org/10.1063/1.533136

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