2 citations · 3 across the 3 of their papers we have counts for
5 papers
Relation between bicrossed products and crossed extensions of fusion categories
Monique Müller, Héctor Martín 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…
On bicrossed product of fusion categories and exact factorizations
Monique Müller, Héctor Martín 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…
On the finite-dimensional representations of the double of the Jordan plane
Nicolás Andruskiewitsch, Héctor Martín Peña Pollastri
We continue the study of the Drinfeld double of the Jordan plane, denoted by and introduced in arXiv:2002.02514. The simple finite-dimensional modules were computed in…
On the double of the Jordan plane
Nicolás Andruskiewitsch, François Dumas, Héctor Martín Peña Pollastri
We compute the simple finite-dimensional modules and the center of the Drinfeld double of the Jordan plane introduced in assuming that the characteristi…
On the double of the (restricted) super Jordan plane
Nicolás Andruskiewitsch, Héctor Peña Pollastri
We consider the super Jordan plane, a braided Hopf algebra introduced--to the best of our knowledge--in works of N. Andruskiewitsch, I. Angiono, I. Heckenberger, and its restricted…