Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras

Abstract

In previous work, we introduced a class of integrable spin Calogero-Moser systems associated with the classical dynamical r-matrices with spectral parameter, as classified by Etingof and Varchenko for simple Lie algebras. Here the main purpose is to establish the Liouville integrability of these systems by a uniform method.

References in corpus (5)

• Integrable spin Calogero-Moser systems
• Spin Calogero models obtained from dynamical r-matrices and geodesic motion
• Calogero-Moser models with noncommutative spin interactions
• Poisson involutions, spin Calogero-Moser systems associated with symmetric Lie subalgebras and the symmetric space spin Ruijsenaars-Schneider models
• A Class of integrable Spin Calogero-Moser systems II: Exact Solvability

Cited by in corpus (2)

• Poisson-Lie analogues of spin Sutherland models
• Intrinsic construction of invariant functions on simple Lie algebras