M. Pugh

collaborators

2 papers

math.CT2024

Frobenius algebra objects in Temperley-Lieb categories at roots of unity

Joseph Grant, Mathew Pugh

We give a new definition of a Frobenius structure on an algebra object in a monoidal category, generalising Frobenius algebras in the category of vector spaces. Our definition allo…

math.OA2018

Classification of Module Categories for $S O (3)_{2 m}$

David E. Evans, Mathew Pugh

The main goal of this paper is to classify $*$ -module categories for the $S O (3)_{2 m}$ modular tensor category. This is done by classifying $S O (3)_{2 m}$ nimrep graphs and cell sy…

Frobenius algebra objects in Temperley-Lieb categories at roots of unity

Classification of Module Categories for SO(3)2m​

Classification of Module Categories for $S O (3)_{2 m}$