A Class of integrable Spin Calogero-Moser systems II: Exact Solvability

Abstract

In a previous paper, we introduce a class of integrable spin Calogero-Moser systems associated with the classical dynamical r-matrices with spectral parameter. Here the main purpose is to give explicit solutions of several factorization problems associated with infinite dimensional Lie groupoids which will allow us to write down the solutions of these integrable models.

53 pages, thoroughly revised, typos corrected, remarks and references added, final version to appear in IMRP Int. Math. Res. Pap.2006

References in corpus (5)

• Geometry and classification of solutions of the Classical Dynamical Yang-Baxter Equation
• The R-matrix structure of the Euler-Calogero-Moser model
• Integrable spin Calogero-Moser systems
• Spin Calogero-Moser systems associated with simple Lie algebras
• Euler-Calogero-Moser system from SU(2) Yang-Mills theory

Cited by in corpus (3)

• Spin Calogero models obtained from dynamical r-matrices and geodesic motion
• Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras
• Spin Calogero models and dynamical r-matrices