English

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

Quantum Algebra 2009-10-31 v2 High Energy Physics - Theory Exactly Solvable and Integrable Systems solv-int

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 ZnZ_n-symmetric elliptic r-matrix, which is the same as that obtained in the study of the nonrelativistic version---the An1A_{n-1} Calogero-Moser model.

Keywords

Cite

@article{arxiv.math/9802104,
  title  = {The dynamical twisting and nondynamical r-matrix structure of elliptic Ruijsenaars-Schneider model},
  author = {Bo-yu Hou and Wen-Li Yang},
  journal= {arXiv preprint arXiv:math/9802104},
  year   = {2009}
}

Comments

Misprints are corrected; LaTex file 15 pages