3 papers
math.QA2020
(Co)ends for representations of tensor categories
Noelia Bortolussi, Martín Mombelli
We generalize the notion of ends and coends in category theory to the realm of module categories over finite tensor categories. We call this new concept "module (co)end". This tool…
math.QA2020
The adjoint algebra for 2-categories
Noelia Bortolussi, Martín Mombelli
For any 0-cell in a 2-category $\Bc$ we introduce the notion of adjoint algebra $\adj_B$. This is an algebra in the center of $\Bc$. We prove that, if $\ca$ is a finite tensor…
math.QA2018
The character algebra for module categories over Hopf algebras
Noelia Bortolussi, Martín Mombelli
Given a finite dimensional Hopf algebra H and an exact indecomposable module category M over Rep(H), we explicitly compute the adjoint algebra A_M as an object in the category of Y…