Quantum symmetries of faces models and the double triangle algebra

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, 4 figures, new typesetting and a few corrections

Scientific paper

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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