On finiteness properties of polynomial functors
Algebraic Topology
2015-07-30 v6 Category Theory
Representation Theory
Abstract
We study finiteness properties, especially the noetherian property, the Krull dimension and a variation of finite presentation, in categories of polynomial functors from a small symmetric monoidal category whose unit is an initial object to an abelian category (notion introduced in this general setting in the work http://hal.archives-ouvertes.fr/hal-00851869 joint with C. Vespa). We give also an application to functors related to automorphisms of free groups.
Cite
@article{arxiv.1308.4698,
title = {On finiteness properties of polynomial functors},
author = {Aurélien Djament},
journal= {arXiv preprint arXiv:1308.4698},
year = {2015}
}
Comments
52 pages, in French. Version r{\'e}vis{\'e}e et largement augment{\'e}e en juin 2015, modifications mineures en juillet 2015