BECAS
BORTOLUSSI Noelia BelÉn
artículos
Título:
The adjoint algebra for 2-categories
Autor/es:
BORTOLUSSI, NOELIA; MOMBELLI, MARTÍN
Revista:
Kyoto Journal of Mathematics
Editorial:
Kyoto Journal of Mathematics
Referencias:
Año: 2022
ISSN:
2156-2261
Resumen:
For any 0-cell B in a 2-category Bc we introduce the notion of adjoint algebra A_B. This is an algebra in the center of Bc. We prove that, if C is a finite tensor category, this notion applied to the 2-category of C-module categories, coincides with the one introduced by Shimizu [Further results on the structure of (Co)ends in fintite tensor categories}, Appl. Categor. Struct. (2019).]. As a consequence of this general approach, we obtain new results on the adjoint algebra for tensor categories.
