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Quantum symmetries of faces models and the double triangle algebra

Roberto Trinchero

hep-tharXiv:hep-th/0501140

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.

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