Regularity and stable ranges of FI-modules
Representation Theory
2023-12-19 v9 Algebraic Topology
Combinatorics
K-Theory and Homology
Abstract
We give refined bounds for the regularity of FI-modules and the stable ranges of FI-modules for various forms of their stabilization studied in the representation stability literature. We show that our bounds are sharp in several cases. We apply these to get explicit stable ranges for diagonal coinvariant algebras, and improve those for ordered configuration spaces of manifolds and congruence subgroups of general linear groups.
Cite
@article{arxiv.2203.06698,
title = {Regularity and stable ranges of FI-modules},
author = {Cihan Bahran},
journal= {arXiv preprint arXiv:2203.06698},
year = {2023}
}
Comments
65 pages