Quantum symmetries of face models and the double triangle algebra

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.

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Published 1 January 2006