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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2021 Volume 17, 005, 26 pp. (Mi sigma1687)
Quantum Groups for Restricted SOS Models

Giovanni Feldera, Muze Renb

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

Abstract: 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 $\pi$.

Keywords: elliptic quantum groups, dynamical $R$-matrices, groupoid grading, RSOS models.

MSC: 17B37, 18M15

Received: October 5, 2020; in final form January 5, 2021; Published online January 12, 2021

Language: English

DOI: 10.3842/SIGMA.2021.005



Bibliographic databases:
ArXiv: 2010.01060

© Steklov Math. Inst. of RAS, 2025