BooksirmaCollected Volumepp. 81–105

Integrable systems associated with elliptic algebras

  • Alexander Odesskii

    University of Manchester, UK

  • Vladimir Rubtsov

    Université d’Angers, France
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Abstract

We construct new integrable systems (IS), both classical and quantum, associated with elliptic algebras. Our constructions are based both on a construction of commuting families in skew fields and on properties of the elliptic algebras and their representations. We give some examples showing how these IS are related to previously studied systems.