141 citations · 314 across the 34 of their papers we have counts for
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The Classification of Fusion 2-Categories
Thibault D. Décoppet, Peter Huston, Theo Johnson-Freyd +5
We classify (multi)fusion 2-categories in terms of braided fusion categories and group cohomological data. This classification is homotopy coherent -- we provide an equivalence bet…
The Condensed Fiber Product and Zesting
Colleen Delaney, César Galindo, Julia Plavnik +2
We introduce the condensed fiber product of two -crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely r…
On bicrossed product of fusion categories and exact factorizations
Monique Müller, Héctor Martín Peña Pollastri, Julia Plavnik
We introduce the notion of a matched pair of fusion rings and fusion categories, generalizing the one for groups. Using this concept, we define the bicrossed product of fusion ring…
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…
Integral non-group-theoretical modular categories of dimension
César Galindo, Julia Plavnik, Eric C. Rowell
We construct all integral non-group-theoretical modular categories of dimension , where and are distinct prime numbers, establishing that a necessary and sufficient…
Contragredient Lie algebras in symmetric categories
Iván Angiono, Julia Plavnik, Guillermo Sanmarco
We define contragredient Lie algebras in symmetric categories, generalizing the construction of Lie algebras of the form for a Cartan matrix from the category…