A long exact sequence for homology of FI-modules
Representation Theory
2016-04-13 v3
Abstract
We construct a long exact sequence involving the homology of an FI-module. Using the long exact sequence, we give two methods to bound the Castelnuovo-Mumford regularity of an FI-module which is generated and related in finite degree. We also prove that for an FI-module which is generated and related in finite degree, if it has a nonzero higher homology, then its homological degrees are strictly increasing (starting from the first homological degree).
Keywords
Cite
@article{arxiv.1602.08873,
title = {A long exact sequence for homology of FI-modules},
author = {Wee Liang Gan},
journal= {arXiv preprint arXiv:1602.08873},
year = {2016}
}
Comments
Minor corrections