A classification of injective FI$^m$-modules (2207.07147v1)

Published 14 Jul 2022 in math.RT, math.CT, and math.RA

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