44 citations · 83 across the 11 of their papers we have counts for
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Graded extensions of generalized Haagerup categories
Pinhas Grossman, Masaki Izumi, Noah Snyder
We classify certain -graded extensions of generalized Haagerup categories in terms of numerical invariants satisfying polynomial equations. In particular, we constru…
Infinite families of potential modular data related to quadratic categories
Pinhas Grossman, Masaki Izumi
We present several infinite families of potential modular data motivated by examples of Drinfeld centers of quadratic categories. In each case, the input is a pair of involutive me…
Fusion Categories Associated to Subfactors with Index
Pinhas Grossman
We classify fusion categories which are Morita equivalent to even parts of subfactors with index , and module categories over these fusion categories. For the fusion c…
Existence of the subfactor
Pinhas Grossman
We give two different proofs of the existence of the subfactor, which is a -supertransitive self-dual subfactor with index . The first proof is a…
The Asaeda-Haagerup fusion categories
Pinhas Grossman, Masaki Izumi, Noah Snyder
The classification of subfactors of small index revealed several new subfactors. The first subfactor above index 4, the Haagerup subfactor, is increasingly well understood and appe…
Drinfeld centers of fusion categories arising from generalized Haagerup subfactors
Pinhas Grossman, Masaki Izumi
We consider generalized Haagerup categories such that admits a -system for every non-invertible simple object . We show that in such a category, the group of ord…