FI$^m$-modules over Noetherian rings
Representation Theory
2017-05-24 v2 Algebraic Topology
K-Theory and Homology
Rings and Algebras
Abstract
In this paper we study representation theory of the category FI introduced by Gadish which is a product of copies of the category FI, and show that quite a few interesting representational and homological properties of FI can be generalized to FI in a natural way. In particular, we prove the representation stability property of finitely generated FI-modules over fields of characteristic 0.
Cite
@article{arxiv.1705.00876,
title = {FI$^m$-modules over Noetherian rings},
author = {Liping Li and Nina Yu},
journal= {arXiv preprint arXiv:1705.00876},
year = {2017}
}
Comments
A few remarks added in Section 1. Several typos corrected