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International Mathematics Research Papers (2006) Vol. 2006 : article ID 62058, 53 pages, doi:10.1155/IMRP/2006/62058
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Copyright © 2006 Hindawi Publishing Corporation. All rights reserved.

A class of integrable spin Calogero-Moser systems. Part II. Exact solvability

Luen-Chau Li

Department of Mathematics, Pennsylvania State University University Park, PA 16802, USA E-mail address: luenli{at}math.psu.edu

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.

Dedicated with respect and admiration to Percy Deift on the occasion of his 60th birthday


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