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Classical Dynamical r-Matrices for Calogero—Moser Systems and Their Generalizations

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Calogero—Moser— Sutherland Models

Part of the book series: CRM Series in Mathematical Physics ((CRM))

Abstract

Construction and study of classical (and quantum) dynamical r-matrices are currently undergoing extensive development. Various examples of such objects were recently discussed, for instance, in Refs. 40, 59, and 60. However, at this time there is no general classifying scheme such as exists in the case of constant classical r-matrices thanks to Belavin and Drinfeld [17]. A partial classification scheme has very recently been proposed [53] for dynamical r-matrices obeying the particular version of the dynamical Yang—Baxter equation [16, 28] corresponding to Calogero—Moser models [9].

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  1. J. Avan
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  1. Departamento de Matematicas, Universidad de Chile, Las Palmeras, 3425, Nunoa Santiago, Chile

    Jan Felipe van Diejen

  2. McGill University, James Administration Building, Room 504, Montreal, Quebec, H3A 2T5, Canada

    Luc Vinet

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Avan, J. (2000). Classical Dynamical r-Matrices for Calogero—Moser Systems and Their Generalizations. In: van Diejen, J.F., Vinet, L. (eds) Calogero—Moser— Sutherland Models. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1206-5_1

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  • DOI: https://doi.org/10.1007/978-1-4612-1206-5_1

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