Generalized representation stability and FId -modules

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this note we consider the complex representation theory of FId, a natural generalization of the category FI of finite sets and injections. We prove that finitely generated FId -modules exhibit behaviors in the spirit of Church-Farb representation stability theory, generalizing a theorem of Church, Ellenberg, and Farb which connects finite generation of FI-modules to representation stability.

Original languageEnglish
Pages (from-to)4647-4660
Number of pages14
JournalProceedings of the American Mathematical Society
Volume145
Issue number11
DOIs
StatePublished - 2017

Keywords

  • FI-modules
  • Representation stability

Fingerprint

Dive into the research topics of 'Generalized representation stability and FId -modules'. Together they form a unique fingerprint.

Cite this