Generalized Representation Stability and FI_d-modules
Representation Theory
2016-10-17 v4 Algebraic Topology
Combinatorics
Abstract
In this note we consider the complex representation theory of FI_d, a natural generalization of the category FI of finite sets and injections. We prove that finitely generated FI_d-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.
Keywords
Cite
@article{arxiv.1606.02673,
title = {Generalized Representation Stability and FI_d-modules},
author = {Eric Ramos},
journal= {arXiv preprint arXiv:1606.02673},
year = {2016}
}
Comments
v4: Expanded Theorem B