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

DOI10.1007/S00220-011-1359-XzbMATH Open1253.37055arXiv1007.3898OpenAlexW2079990176MaRDI QIDQ652272

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Publication date: 14 December 2011

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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.

Full work available at URL: https://arxiv.org/abs/1007.3898

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