activity
20142026
most citedThe Brauer-Picard groups of the fusion categories coming from the subfactors

5 citations · 21 across the 18 of their papers we have counts for

collaborators

20 papers

math.QA2026

A graph planar algebra approach to near-group categories

Cain Edie-Michell, Caleb Kennedy Hill

In this note we investigate the construction of near-group fusion categories via building explicit representations of them in certain graph planar algebras. To achieve this we firs…

math.QA2026

Classification of 1-super-transitive quantum subgroups in type A

Cain Edie-Michell, Jacques Katumba

We define a notion of super-transitivity for ètale algebra objects . This definition is a direct analogue of the notion of super-transitivity…

math.QA2025

Hecke-Clifford algebras at roots of unity and conformal embeddings

Cain Edie-Michell, Hans Wenzl

In this paper we give a combinatorial description of the Cauchy completion of the categories and recently introduced by the first author…

math.QA2025

Interpolation categories for Conformal Embeddings

Cain Edie-Michell, Noah Snyder

In this paper we give a diagrammatic description of the categories of modules coming from the conformal embeddings $\mathcal{V}(\mathfrak{sl}_N,N) \subset \mathcal{V}(\mathfrak{so}…

math.QA2024

Type quantum subgroups for quantum . : Classification

Cain Edie-Michell, Terry Gannon

In this paper we study the indecomposable module categories over , the category of integrable level- respresentations of affine Kac-Moody $\math…

math.QA2023

The construction of a -like quantum subgroup of

Cain Edie-Michell, Lance Marinelli

In this short note we construct an embedding of the planar algebra for at into the graph planar algebra of di…