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The center of the extended Haagerup subfactor has 22 simple objects

Morrison, Scott; Walker, Kevin


We explain a technique for discovering the number of simple objects in Z(), the center of a fusion category , as well as the combinatorial data of the induction and restriction functors at the level of Grothendieck rings. The only input is the fusion ring K() and the dimension function K. In particular, we apply this to deduce that the center of the extended Haagerup subfactor has 22 simple objects, along with their decompositions as objects in either of the fusion categories associated to the...[Show more]

CollectionsANU Research Publications
Date published: 2017-02-08
Type: Journal article
Source: International Journal of Mathematics
DOI: 10.1142/S0129167X17500094


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