Abstract
We construct a hyperbolic modular double – an algebra lying in between the Faddeev modular double for $U_q(sl_2)$ 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.
Information
Published: 1 January 2018
First available in Project Euclid: 21 September 2018
zbMATH: 07039301
MathSciNet: MR3837920
Digital Object Identifier: 10.2969/aspm/07610095
Subjects:
Primary:
33D60
,
39A13
,
82B20
Keywords:
Faddeev-Volkov model
,
modular double
,
Sklyanin algebra
,
solvable lattice models
,
Yang-Baxter equation
Rights: Copyright © 2018 Mathematical Society of Japan
