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

Physics – Mathematical Physics

Scientific paper

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Scientific paper

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.

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