3 papers
math.QA2026
Paravortices: loop braid representations with both generators involutive
Paul P. Martin, Eric C. Rowell, Fiona Torzewska
We first motivate the study of a certain quotient of the loop braid category, both for the mathematics underpinning recent approaches to topological quantum computation; and as a k…
math.QA2026
On Higher Representation Theory via Categories of type Charge-Conserving--with--Glue
Paul P Martin, Sarah Almateari, Eric C Rowell
In this paper we introduce a strict monoidal subcategory of the category of matrices, suitable to address a higher representation theoretic analogue of radicals (non-semisimplicity…
math.QA2025
A Categorical Perspective on Braid Representations
P. P. Martin, E. C. Rowell, F. Torzewska
We study categories whose objects are the braid representations, i.e. strict monoidal functors from the braid category to the category of matrices $M…