Classical dynamical r-matrices for Calogero-Moser systems and their generalizations

1997/06/19 by Avan, J.
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/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

Related

• Construction of the classical R-matrices for the Toda and Calogero models
• Geometric construction of the classical R-matrices for the elliptic and trigonometric Calogero-Moser systems
• Universal R-matrix formalism for the spin Calogero-Moser system and its difference counterpart
• The nondynamical r-matrix structure for the elliptic A_n-1 Calogero-Moser model
• The nondynamical r-matrix structure of the elliptic Calogero-Moser model