The hyperbolic modular double and the Yang-Baxter equation
Abstract
We construct a hyperbolic modular double -- an algebra lying in between the Faddeev modular double for Uq(sl2) and the elliptic modular double. The intertwining operator for this algebra leads to an integral operator solution of the Yang-Baxter equation associated with a generalized Faddeev-Volkov lattice model introduced by the second author. We describe also the L-operator and finite-dimensional R-matrices for this model.
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