3 papers
math.QA2026
NIM-representations of Tambara-Yamagami generalizations
Agustina Czenky, Emily McGovern, Melody Molander +2
We compute and classify the irreducible non-negative integer matrix (NIM-)representations of two proposed generalizations of the Tambara-Yamagami fusion ring, as studied by Jordan-…
math.QA2025
Relation between bicrossed products and crossed extensions of fusion categories
Monique Müller, Héctor MartÃn Peña Pollastri, Julia Plavnik
We show that all crossed extensions defined by Natale can be recovered as duals of bicrossed products of fusion categories. As an application, we prove that any exact factorization…
math.QA2025
On bicrossed product of fusion categories and exact factorizations
Monique Müller, Héctor MartÃn Peña Pollastri, Julia Plavnik
We introduce the notion of a matched pair of fusion rings and fusion categories, generalizing the one for groups. Using this concept, we define the bicrossed product of fusion ring…