BECAS
BORTOLUSSI Noelia BelÉn
artículos
Título:
(Co)ends for representations of tensor categories
Autor/es:
NOELIA BORTOLUSSI; MOMBELLI, MARTÍN
Revista:
THEORY AND APPLICATIONS OF CATEGORIES
Editorial:
Theory and applications of categories
Referencias:
Año: 2021 vol. 37 p. 144 - 188
ISSN:
1201-561X
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].
