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AKS scheme for face and Calogero-Moser-Sutherland type models

Branislav Jurco·Peter Schupp
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Abstract

We give the construction of quantum Lax equations for IRF models and difference versions of Calogero-Moser-Sutherland models introduced by Ruijsenaars. We solve the equations using factorization properties of the underlying face Hopf algebras/elliptic quantum groups. This construction is in the spirit of the Adler-Kostant-Symes method and generalizes our previous work to the case of face Hopf algebras/elliptic quantum groups with dynamical R-matrices.

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BibTeXRIS

Branislav Jurco, Peter Schupp. 1997-10-09. AKS scheme for face and Calogero-Moser-Sutherland type models. https://doi.org/10.1063/1.532453

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