Tensor products of finitely presented functors
Category Theory
2021-11-02 v1 High Energy Physics - Theory
Abstract
We study right exact tensor products on the category of finitely presented functors. As our main technical tool, we use a multilinear version of the universal property of so-called Freyd categories. Furthermore, we compare our constructions with the Day convolution of arbitrary functors. Our results are stated in a constructive way and give a unified approach for the implementation of tensor products in various contexts.
Cite
@article{arxiv.1909.00172,
title = {Tensor products of finitely presented functors},
author = {Martin Bies and Sebastian Posur},
journal= {arXiv preprint arXiv:1909.00172},
year = {2021}
}