12 citations · 20 across the 14 of their papers we have counts for
18 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…
Fibre functors and reconstruction of Hopf algebras
Simon Lentner, Martín Mombelli
The main objective of the present paper is to present a version of the Tannaka-Krein type reconstruction Theorems: If is an exact faithful monoidal functor of tensor cat…
Relative Adjoint Algebras
Martín Mombelli
Given a finite tensor category $\ca$, an exact indecomposable $\ca$-module category $\Mo$, and a tensor subcategory $\Do\subseteq \ca^*_\Mo$, we describe a way to produce \textit{e…
(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…
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…
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…