13 citations · 68 across the 29 of their papers we have counts for
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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…
Frobenius subalgebra lattices in tensor categories
Mainak Ghosh, Sebastien Palcoux
This paper generalizes Watatani's finiteness theorem for intermediate subfactors to a wide class of monoidal categories. We characterize the sublattices of Frobenius subalgebra pos…