141 citations · 769 across the 61 of their papers we have counts for
69 papers
Unitary Yang--Baxter Operators: Towards a Classification
Cesar Galindo, Eric C. Rowell
There is a well-known circle of conjectures relating unitary solutions of the Yang--Baxter equation, unitary braided fusion categories, topological quantum computation, and link in…
Egyptian fractions for few primes
Agustina Czenky, Emily McGovern, Julia Plavnik +2
We study solutions to the Egyptian fractions equation with the prime factors of the denominators constrained to lie in a fixed set of primes. We evaluate the effectiveness of the g…
Low-dimensional indecomposable representations of the braid group
Eric C. Rowell, Yuze Ruan
In this note we give a complete classification of all indecomposable yet reducible representations of for dimensions and over an algebraically closed field with c…
The Condensed Fiber Product and Zesting
Colleen Delaney, César Galindo, Julia Plavnik +2
We introduce the condensed fiber product of two -crossed braided fusion categories, generalizing existing constructions in the literature. We show that this product is closely r…
Recovering R-symbols from modular data
Siu-Hung Ng, Eric C Rowell, Xiao-Gang Wen
Given a premodular category , we show that its -symbol can be recovered from its -matrice, fusion coefficients and some 2nd generalized Frobenius-Schur indicator…
Integral non-group-theoretical modular categories of dimension
César Galindo, Julia Plavnik, Eric C. Rowell
We construct all integral non-group-theoretical modular categories of dimension , where and are distinct prime numbers, establishing that a necessary and sufficient…