On quantum symmetries of ADE graphs

Details On quantum symmetries of ADE graphs On quantum symmetries of ADE graphs

2004-01-20

arxiv.org/abs/hep-th/0401140v1

Adv.Theor.Math.Phys. 8 (2004) 189-216

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

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 is described in detail.

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