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arXiv · 2207.07147

A classification of injective FI$^m$-modules

Duo Zeng
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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.

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Duo Zeng. 2022-07-14. A classification of injective FI$^m$-modules. https://arxiv.org/abs/2207.07147

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