The nondynamical r-matrix structure for the elliptic $A_{n-1}$ Calogero-Moser model
Abstract
In this paper, we construct a new Lax operator for the elliptic $A_{n-1}$ Calogero-Moser model with general $n(2\leq n$) 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 $Z_n$-symmetric r-matrix.
- Publication:
-
eprint arXiv:q-alg/9711010
- Pub Date:
- November 1997
- DOI:
- 10.48550/arXiv.q-alg/9711010
- arXiv:
- arXiv:q-alg/9711010
- Bibcode:
- 1997q.alg....11010H
- Keywords:
-
- Quantum Algebra and Topology;
- High Energy Physics - Theory;
- Mathematics - Quantum Algebra
- E-Print:
- 15 pages, Latex file 38k