13 citations · 68 across the 29 of their papers we have counts for
30 papers
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^(…
Exchange relations and Frobenius subalgebras
Mainak Ghosh, Sebastien Palcoux
Bisch and Jones established a bijection between the intermediate subfactors of an irreducible subfactor and certain idempotents satisfying exchange relations. In this paper, we gen…
A new criterion for integral modular categorification
Jingcheng Dong, Sebastien Palcoux
A generalization of an argument due to Etingof-Nikshych-Ostrik yields a highly efficient necessary criterion for integral modular categorification. This criterion allows us to comp…
Classifying integral Grothendieck rings up to rank 5 and beyond
Max A. Alekseyev, Winfried Bruns, Jingcheng Dong +1
In this paper, we define a Grothendieck ring as a fusion ring categorifiable into a fusion category over the complex field. An integral fusion ring is called Drinfeld if all its fo…