Advances in Theoretical and Mathematical Physics
Volume 10 (2006)
Quantum symmetries of face models and the double triangle algebra
Pages: 49 – 75
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.
2010 Mathematics Subject Classification
Primary 81T40. Secondary 81R05.