6 citations · 6 across the 9 of their papers we have counts for
14 papers · 1 filter
Greedy fusion
Andrew Schopieray
We demonstrate that certain sequences of integer formal codegrees, motivated by the greedy algorithm for unit fraction decompositions of 1, dictate the structure of fusion rings. I…
Modular fusion categories with few twists
Andrew Schopieray
We classify modular fusion categories up to braided equivalence with less than four distinct twists of simple objects by observing that under this assumption, for each positive int…
Near-integral fusion
Jingcheng Dong, Andrew Schopieray
We abstract the study of irreducible characters of finite groups vanishing on all but two conjugacy classes, initiated by S. Gagola, to irreducible characters of fusion rings whose…
On Frobenius-Schur exponent bounds
Agustina Czenky, Julia Plavnik, Andrew Schopieray
Here we study bounds on the Frobenius-Schur exponent of spherical fusion categories based on their global dimension generalizing bounds from the representation theory of finite-dim…
Fixed-point-free fusion automorphisms
Andrew Schopieray
This is a study of fusion ring automorphisms leaving only the trivial element fixed. We prove that a variety of classical results on fixed-point-free automorphisms of finite groups…
Irrational braided generalized near-groups
Andrew Schopieray
We classify braided generalized near-group fusion categories whose global dimension is not an integer; there are exactly two up to Grothendieck equivalence and taking products with…