English

A classification of injective FI$^m$-modules

Representation Theory 2022-07-18 v1 Category Theory Rings and Algebras

Abstract

In this paper we generalize a shift theorem, which plays a key role in studying representations of FIm^m, the product category of the category of finite sets and injections, and classify finitely generated injective FIm^m-modules over a field of characteristic 0.

Keywords

Cite

@article{arxiv.2207.07147,
  title  = {A classification of injective FI$^m$-modules},
  author = {Duo Zeng},
  journal= {arXiv preprint arXiv:2207.07147},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-25T00:55:41.199Z