6 papers
Central Hopf Monads and Braided Commutative Algebras
Noelia Bortolussi, Adriana Mejía Castaño, Martín Mombelli
Let be a braided tensor category and a tensor category equipped with a braided tensor functor . For any exact indecomposable -module category , we expl…
Kids Today: Remote Education in the time of COVID-19
Adriana Mejia Castaño, Javier E Hernandez, Angie Mendez Llanos
With the recent COVID-19 breakup, it became necessary to implement remote classes in schools and universities to safeguard health and life. However, many students (teachers and par…
Examples of (non)-braided tensor categories
Adriana Mejía Castaño
Are introduced six examples of non-braidable tensor categories which are extensions of the category Comod(H), for H a super-group algebra; and two examples of braided categories wh…
Classification of Pointed Fusion Categories of dimension up to weak Morita Equivalence
Kevin Maya, Adriana Mejía Castaño, Bernardo Uribe
We give a complete classification of pointed fusion categories over of global dimension for any odd prime. We proceed to classify the equivalence classes of…
Equivalence classes of exact module categories over graded tensor categories
Adriana Mejía Castaño, Martín Mombelli
We describe equivalence classes of exact indecomposable module categories over a finite graded tensor category. When applied to a pointed fusion category, our results coincide with…
Classification of Pointed Fusion Categories of dimension 8 up to weak Morita Equivalence
Alvaro Muñoz, Bernardo Uribe
In this paper we give a complete classification of pointed fusion categories over of global dimension 8. We first classify the equivalence classes of pointed fusion ca…