5 papers
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…
Classification of modular data up to rank 12
Siu-Hung Ng, Eric C. Rowell, Xiao-Gang Wen
We use the computer algebra system GAP to classify modular data up to rank 12. This extends the previously obtained classification of modular data up to rank 6. Our classification…
Braided zesting and its applications
Colleen Delaney, César Galindo, Julia Plavnik +2
We give a rigorous development of the construction of new braided fusion categories from a given category known as zesting. This method has been used in the past to provide categor…
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…