Tootfinder

On Frobenius-Schur exponent bounds
Agustina Czenky, Julia Plavnik, Andrew Schopieray
https://arxiv.org/abs/2404.06643 https://arxiv.o…

On Frobenius-Schur exponent bounds
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-dimensional quasi-Hopf algebras. Our main result is that if the Frobenius-Schur exponent of a modular fusion category is a prime power for some prime integer $p$, then it is bounded by the norm of its global dimension when $p$ is odd, and four times the norm of its global dimension when $p=2$; these bounds are optimal. I…

On Frobenius-Schur exponent bounds
Agustina Czenky, Julia Plavnik, Andrew Schopieray
https://arxiv.org/abs/2404.06643 https://arxiv.o…

On Frobenius-Schur exponent bounds
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-dimensional quasi-Hopf algebras. Our main result is that if the Frobenius-Schur exponent of a modular fusion category is a prime power for some prime integer $p$, then it is bounded by the norm of its global dimension when $p$ is odd, and four times the norm of its global dimension when $p=2$; these bounds are optimal. I…

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Los Bitchos & Josefine Jonnson & Serra Petale & Nic Crawshaw & Agustina Ruiz:
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#LosBitchos #JosefineJonnson #SerraPetale #NicCrawshaw #AgustinaRuiz
https://open.spotify.com/track/2PFELfa8LlJcqffnQL5g7W

Diagramatics for cyclic pointed fusion categories
Agustina Czenky
https://arxiv.org/abs/2404.08084 https://arxiv.org/pdf/2404.08084…

Diagramatics for cyclic pointed fusion categories
We give a parametrization of cyclic pointed categories associated to the cyclic group of order $n$ in terms of $n$-th roots of unity. We also provide a diagramatic description of these categories by generators and relations, and use it to characterize their $2$-group of automorphisms.

Diagramatics for cyclic pointed fusion categories
Agustina Czenky
https://arxiv.org/abs/2404.08084 https://arxiv.org/pdf/2404.08084…

Diagramatics for cyclic pointed fusion categories
We give a parametrization of cyclic pointed categories associated to the cyclic group of order $n$ in terms of $n$-th roots of unity. We also provide a diagramatic description of these categories by generators and relations, and use it to characterize their $2$-group of automorphisms.