## 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