Integrable systems associated with elliptic algebras
Alexander OdesskiiUniversity of Manchester, UK
Vladimir RubtsovUniversité d’Angers, France
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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.