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

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

1998-02-22

arxiv.org/abs/math/9802104v2

J.Math.Phys. 41 (2000) 357-369

Mathematics

Quantum Algebra

Misprints are corrected; LaTex file 15 pages

Scientific paper

10.1063/1.533136

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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