## Advances in Theoretical and Mathematical Physics

### Quantum symmetries of face models and the double triangle algebra

Roberto Trinchero

#### 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.

#### Article information

Source
Adv. Theor. Math. Phys., Volume 10, Number 1 (2006), 49-75.

Dates
First available in Project Euclid: 30 July 2006

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1154236238

Mathematical Reviews number (MathSciNet)
MR2222222

Zentralblatt MATH identifier
1130.81038

#### Citation

Trinchero, Roberto. Quantum symmetries of face models and the double triangle algebra. Adv. Theor. Math. Phys. 10 (2006), no. 1, 49--75. https://projecteuclid.org/euclid.atmp/1154236238