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

Physics – Mathematical Physics

Scientific paper

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

Scientific paper

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.

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