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VOL. 76 | 2018 The hyperbolic modular double and the Yang-Baxter equation
Dmitry Chicherin, Vyacheslav P. Spiridonov

Editor(s) Hitoshi Konno, Hidetaka Sakai, Junichi Shiraishi, Takao Suzuki, Yasuhiko Yamada

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

Rights: Copyright © 2018 Mathematical Society of Japan

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