The nondynamical r-matrix structure for the elliptic An−1 Calogero-Moser model
نویسندگان
چکیده
In this paper, we construct a new Lax operator for the elliptic An−1 Calogero-Moser model with general n(2 ≤ n) from the classical dynamical twisting, in which the corresponding r-matrix is purely numeric (nondynamical one). The nondynamical r-matrix structure of this Lax operator is obtained, which is elliptic Zn-symmetric r-matrix. Mathematics Subject Classification : 70F10 , 70H33 , 81U10.
منابع مشابه
The dynamical twisting and nondynamical r-matrix structure for the elliptic Ruijsenaars-Schneider model
From the dynamical twisting of the classical r-matrix, we obtain a new Lax operator for the elliptic Ruijsenaars-Schneider model (cf. Ruisenaars’). 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 givened by us. Mathematics Subject Classification : ...
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