6 citations · 6 across the 4 of their papers we have counts for
9 papers
Modular tensor categories, subcategories, and Galois orbits
Julia Plavnik, Andrew Schopieray, Zhiqiang Yu +1
We establish a set of general results to study how the Galois action on modular tensor categories interacts with fusion subcategories. This includes a characterization of fusion su…
Nondegenerate extensions of near-group braided fusion categories
Andrew Schopieray
This is a study of weakly integral braided fusion categories with elementary fusion rules to determine which possess nondegenerately braided extensions of theoretically minimal dim…
Non-pseudounitary fusion
Andrew Schopieray
We prove there exist infinitely many inequivalent fusion categories whose Grothendieck rings do not admit any pseudounitary categorifications.
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…
Algebraic number fields generated by Frobenius-Perron dimensions in fusion rings
Terry Gannon, Andrew Schopieray
From a unifying lemma concerning fusion rings, we prove a collection of number-theoretic results about fusion, braided, and modular tensor categories. First, we prove that every fu…
Quadratic -numbers
Andrew Schopieray
Here we constructively classify quadratic -numbers: algebraic integers in quadratic number fields generating Galois-invariant ideals. We prove the subset thereof maximal among t…