13 citations · 68 across the 29 of their papers we have counts for
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Classification of vanishing fusion rings of rank four
Jingcheng Dong, Sébastien Palcoux, Arnaud Plessis
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…
Local Ocneanu rigidity for separable algebra objects
Tinhinane Amina Azzouz, Mainak Ghosh, Sebastien Palcoux
We establish local Ocneanu rigidity for separable algebra objects in Hom-finite monoidal categories C over an algebraically closed field k. A separability morphism contracts the fi…
Sharp bounds for intervals in finite subgroup lattices
Sebastien Palcoux, Pablo Spiga
Let H be a subgroup of a finite group G, and put n = [G:H] > 1. If p is the least prime divisor of n, we prove that the number of subgroups K with H <= K <= G is less than c(p) n^(…