Open Access
January 2006 Quantum symmetries of face models and the double triangle algebra
Roberto Trinchero
Adv. Theor. Math. Phys. 10(1): 49-75 (January 2006).


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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Roberto Trinchero. "Quantum symmetries of face models and the double triangle algebra." Adv. Theor. Math. Phys. 10 (1) 49 - 75, January 2006.


Published: January 2006
First available in Project Euclid: 30 July 2006

zbMATH: 1130.81038
MathSciNet: MR2222222

Primary: 81T40
Secondary: 16W30 , 81R05

Rights: Copyright © 2006 International Press of Boston

Vol.10 • No. 1 • January 2006
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