Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 17 (2021), 005, 26 pages      arXiv:2010.01060
Contribution to the Special Issue on Representation Theory and Integrable Systems in honor of Vitaly Tarasov on the 60th birthday and Alexander Varchenko on the 70th birthday

Quantum Groups for Restricted SOS Models

Giovanni Felder a and Muze Ren b
a) Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland
b) Department of Mathematics, University of Geneva, 2-4 rue du Lièvre, c.p. 64, 1211 Geneva 4, Switzerland

Received October 05, 2020, in final form January 05, 2021; Published online January 12, 2021

We introduce the notion of restricted dynamical quantum groups through their category of representations, which are monoidal categories with a forgetful functor to the category of $\pi$-graded vector spaces for a groupoid $\pi$.

Key words: elliptic quantum groups; dynamical $R$-matrices; groupoid grading; RSOS models.

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