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(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…