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

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.

24 pages, latex

References in corpus (3)

• Solutions of the quantum dynamical Yang-Baxter equation and dynamical quantum groups
• Elliptic quantum groups and Ruijsenaars models
• Twisted Quantum Lax Equations

Cited by in corpus (1)

• Quantum Systems Exactly