Quantum symmetries of faces models and the double triangle algebra
High Energy Physics - Theory
2008-11-26 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
Symmetries of trigonometric integrable two dimensional statistical face models are considered. The corresponding symmetry operators on the Hilbert space of states of the quantum version of these models define a weak *-Hopf algebra isomorphic to the Ocneanu double triangle algebra.
Cite
@article{arxiv.hep-th/0501140,
title = {Quantum symmetries of faces models and the double triangle algebra},
author = {Roberto Trinchero},
journal= {arXiv preprint arXiv:hep-th/0501140},
year = {2008}
}
Comments
28 pages, 4 figures, new typesetting and a few corrections