2 citations · 3 across the 5 of their papers we have counts for
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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…
On modular categories with Frobenius-Perron dimension congruent to 2 modulo 4
Akshaya Chakravarthy, Agustina Czenky, Julia Plavnik
We contribute to the classification of modular categories with . We prove that such categories have group of invert…
Support varieties without the tensor product property
Petter Andreas Bergh, Julia Yael Plavnik, Sarah Witherspoon
We show that over a perfect field, every non-semisimple finite tensor category with finitely generated cohomology embeds into a larger such category where the tensor product proper…
On the Classification of Weakly Integral Modular Categories
Paul Bruillard, César Galindo, Siu-Hung Ng +3
We classify all modular categories of dimension , where is an odd square-free integer, and all ranks and weakly integral modular categories. This completes the clas…