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arxiv: math/9802104 · v2 · submitted 1998-02-22 · 🧮 math.QA · hep-th· nlin.SI· solv-int

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

classification 🧮 math.QA hep-thnlin.SIsolv-int
keywords r-matrixellipticmodelclassicaldynamicalruijsenaars-schneidertwistingcalogero-moser
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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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