3 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
Type Quantum Subgroups from Graph Planar Algebra Embeddings
Caleb Kennedy Hill
We give graphical presentations for the two quantum subgroups of type . To do this we use a method of extending a tensor category by embedding the planar algebra of a $\otimes…
math.RT2020
Combinatorial Hopf algebras from representations of families of wreath products
Tyrone Crisp, Caleb Kennedy Hill
We construct Hopf algebras whose elements are representations of combinatorial automorphism groups, by generalising a theorem of Zelevinsky on Hopf algebras of representations of w…