Homological Invariants of FI-modules and FI_G-modules
Representation Theory
2016-02-17 v3 Algebraic Topology
Combinatorics
Abstract
We explore a theory of depth for FI_G-modules which are presented in finite degrees. Using this theory, we prove results about the regularity, and provide novel bounds on stable ranges of FI-modules, making effective a theorem of Nagpal and thereby refining the stable range in results of Church, Ellenberg, and Farb.
Keywords
Cite
@article{arxiv.1511.03964,
title = {Homological Invariants of FI-modules and FI_G-modules},
author = {Eric Ramos},
journal= {arXiv preprint arXiv:1511.03964},
year = {2016}
}
Comments
29 pages. v3: Generalized many of the theorems from the earlier versions. No longer require that G be finite, nor that k be a Noetherian ring, for instance