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Chapitre D'ouvrage Année : 2008

Integrable systems associated with elliptic algebras

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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.

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hal-03040214 , version 1 (04-12-2020)



Alexander Odesskii, Vladimir Roubtsov. Integrable systems associated with elliptic algebras. Quantum Groups, 12, European Mathematical Society, pp.81 - 105, 2008, IRMA Lectures in Mathematics and Theoretical Physics ; 12, 978-3-03-719047-0. ⟨10.4171/047-1/3⟩. ⟨hal-03040214⟩
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