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math.QA2026

Cocentral Split Abelian Hopf Algebra Extensions from Crossed Cocycles

César Galindo, Giovanny Mora

We study cocentral algebra-split abelian Hopf algebra extensions over an algebraically closed field of characteristic zero for a fixed action of a group on a finite abelian group.…

math.QA2025

Zestings of Hopf Algebras

Iván Angiono, César Galindo, Giovanny Mora

We extend the previously established zesting techniques from fusion categories to general tensor categories. In particular we consider the category of comodules over a Hopf algebra…

math.QA2024

Braided Zestings of Verlinde Modular Categories and Their Modular Data

César Galindo, Giovanny Mora, Eric C. Rowell

Zesting of braided fusion categories is a procedure that can be used to obtain new modular categories from a modular category with non-trivial invertible objects. In this paper, we…