21 citations · 44 across the 15 of their papers we have counts for
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math.QA2019★ 6 cited
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…
math.NT2019
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…
math.QA2019★ 21 cited
Higher Gauss sums of modular categories
Siu-Hung Ng, Andrew Schopieray, Yilong Wang
The definitions of the Gauss sum and the associated central charge are introduced for premodular categories and . We first derive an…