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arXiv · 1007.3898

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

Luen-Chau Li·Zhaohu Nie
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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.

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Luen-Chau Li, Zhaohu Nie. 2010-07-22. Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras. https://doi.org/10.1007/s00220-011-1359-x

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