Open Access
January, 2004 On quantum symmetries of ADE graphs
Robert Coquereaux, Roberto Trinchero
Adv. Theor. Math. Phys. 8(1): 189-216 (January, 2004).


The double triangle algebra (DTA) associated to an ADE graph is considered. A description of its bialgebra structure based on a reconstruction approach is given. This approach takes as initial data the representation theory of the DTA as given by Ocneanu's cell calculus. It is also proved that the resulting DTA has the structure of a weak *-Hopf algebra. As an illustrative example, the case of the graph A3 isdescribed in detail.


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Robert Coquereaux. Roberto Trinchero. "On quantum symmetries of ADE graphs." Adv. Theor. Math. Phys. 8 (1) 189 - 216, January, 2004.


Published: January, 2004
First available in Project Euclid: 2 August 2004

zbMATH: 1082.81045
MathSciNet: MR2086679

Rights: Copyright © 2004 International Press of Boston

Vol.8 • No. 1 • January, 2004
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