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20162026
most citedSolutions to the constant Yang-Baxter equation: additive charge conservation in three dimensions

1 citations · 2 across the 5 of their papers we have counts for

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math.QA2026

Notions of equivalence among constant Yang--Baxter Operators: To -Equivalence and Beyond

Paul P. Martin, Eric C. Rowell

Recent advances in the classification of certain classes of Yang-Baxter operators through a holistic categorical approach has some of us wondering about ways to identify solutions.…

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…