Artículo
(Co)ends for representations of tensor categories
Fecha de publicación:
08/2021
Editorial:
Mount Allison University
Revista:
Theory And Applications Of Categories
ISSN:
1201-561X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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 allows us to give different proofs to several known results in the theory of representations of finite tensor categories. As a new application, we present a description of the relative Serre functor for module categories in terms of a module coend, in a analogous way as a Morita invariant description of the Nakayama functor of abelian categories presented in [4].
Palabras clave:
Coends
,
Tensor category
,
Module category
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Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
Bortolussi, Noelia Belén; Mombelli, Juan Martín; (Co)ends for representations of tensor categories; Mount Allison University; Theory And Applications Of Categories; 37; 6; 8-2021; 144-188
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