Comments about quantum symmetries of SU(3) graphs

Physics – Mathematical Physics

Scientific paper

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36 pages

Scientific paper

10.1016/j.geomphys.2006.03.002

For the SU(3) system of graphs generalizing the ADE Dynkin digrams in the classification of modular invariant partition functions in CFT, we present a general collection of algebraic objects and relations that describe fusion properties and quantum symmetries associated with the corresponding Ocneanu quantum groupo\"{i}ds. We also summarize the properties of the individual members of this system.

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