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Classification of vanishing fusion rings of rank four
Jingcheng Dong, Sébastien Palcoux, Sebastien Palcoux +1
A fusion ring is said to be vanishing if one of its multiplication matrices has determinant zero. We classify all vanishing fusion rings of rank four. We then provide a more explic…
Classifying Grothendieck rings of pivotal fusion categories of rank four
Jingcheng Dong, Sebastien Palcoux, Arnaud Plessis
We classify the Classifying Grothendieck rings of pivotal fusion categories of rank four over the complex field. There are exactly fifteen, each admitting a unitary categorificatio…
Small points in radical extensions of number fields
Andrea Conti, Ilaria Del Corso, Arnaud Plessis +1
We study small points in radical extensions of algebraic fields. Given an algebraic extension of , a finitely generated subgroup $Γ\subseteq \mathbb{F}^\ti…