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

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

1997-10-09

arxiv.org/abs/solv-int/9710006v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, latex

Scientific paper

10.1063/1.532453

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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