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math.QA2020
Non-pseudounitary fusion
Andrew Schopieray
We prove there exist infinitely many inequivalent fusion categories whose Grothendieck rings do not admit any pseudounitary categorifications.
math.QA2020
Norm, trace, and formal codegrees of fusion categories
Andrew Schopieray
We prove several results in the theory of fusion categories using the product (norm) and sum (trace) of Galois conjugates of formal codegrees. First, we prove that finitely-many fu…