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math.QA2026
The dimension block of a spherical fusion category
Andrew Schopieray
Let be a spherical fusion category with global dimension . The Galois conjugates of the dimension character index a block of the -matrix of the Drinfeld center,…
math.QA2026
On Haagerup-Izumi fusion categories
Terry Gannon, Andrew Schopieray, Harshit Yadav
For every odd , we construct a Haagerup-Izumi (HI) category for , using Barnes double-sine functions. Equivariantization gives near-group categories of type $((\mat…
math.QA2026
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…