INVESTIGADORES
MOMBELLI Juan Martin
artículos
Título:
The adjoint algebra for 2-categories
Autor/es:
NOELIA BORTOLUSSI; J.M. MOMBELLI
Revista:
kyoto journal of mathematics
Editorial:
Duke university press
Referencias:
Lugar: Kyoto; Año: 2023 vol. 63 p. 117 - 154
ISSN:
2156-2261
Resumen:
For any 0-cell $B$ 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 category, this notion applied to the 2-category $camod$ of $ca$-module categories, coincides with the one introduced by Shimizu cite{Sh2}. As a consequence of this general approach, we obtain new results on the adjoint algebra for tensor categories.
