Classical dynamical r-matrices for Calogero-Moser systems and their generalizations
arXiv:q-alg/9706024
Abstract
We present a derivation of the dynamical r-matrices of the Calogero-Moser models using the Hamiltonian reduction procedure to get general formulae. We describe the dynamical r-matrices thus found for spin Calogero-Moser models and relativistic Ruijsenaars-Schneider models
17 pages, LaTeX; To appear in the proceedings of the workshop on Calogero-Moser-Sutherland models (March 10/15th, 1997, CRM Montreal, Canada), CRM Publications
References in corpus (8)
- Symplectic structures associated to Lie-Poisson groups
- Spin generalization of the Ruijsenaars-Schneider model, non-abelian 2D Toda chain and representations of Sklyanin algebra
- Elliptic Calogero-Moser system from two dimensional current algebra
- Classical R-matrix structure for the Calogero model
- The Sine-Gordon Solitons as a N-Body Problem
- The R-matrix structure of the Euler-Calogero-Moser model
- Construction of the classical -matrices for the Toda and Calogero models
- Classical Poisson structures and r-matrices from constrained flows