English

Virtual Specht stability for $FI$-modules in positive characteristic

Representation Theory 2016-09-07 v2

Abstract

We define a notion of virtual Specht stability which is a relaxation of the Church-Farb notion of representation stability for sequences of symmetric group representations. Using a structural result of Nagpal, we show that FIFI-modules over fields of positive characteristic exhibit virtual Specht stability.

Keywords

Cite

@article{arxiv.1607.04271,
  title  = {Virtual Specht stability for $FI$-modules in positive characteristic},
  author = {Nate Harman},
  journal= {arXiv preprint arXiv:1607.04271},
  year   = {2016}
}

Comments

10 pages

R2 v1 2026-06-22T14:55:07.052Z