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Algebraic nested Bethe ansatz for the elliptic Ruijsenaars model

E. Billey
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Abstract

The eigenvalues of the elliptic N-body Ruijsenaars operator are obtained by a dynamical version of the algebraic nested Bethe ansatz method. We use a result of Felder and Varchenko, who showed how to obtain the Ruijsenaars operator as the transfer matrix of a particular representation of the elliptic quantum group associated to gl(N).

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E. Billey. 1998-06-12. Algebraic nested Bethe ansatz for the elliptic Ruijsenaars model. https://arxiv.org/abs/math/9806068

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