The core groupoid can suffice

Ross Street

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arXiv · 2208.11332

The core groupoid can suffice

Ross Street

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Abstract

This work results from a study of Nicholas Kuhn's paper entitled "Generic representation theory of finite fields in nondescribing characteristic". Our goal is to abstract the categorical structure required to obtain an equivalence between functor categories $[\mathscr{F},\mathscr{V}]$ and $[\mathscr{G},\mathscr{V}]$ where $\mathscr{G}$ is the core groupoid of the category $\mathscr{F}$ and $\mathscr{V}$ is a category of modules over a commutative ring.

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Ross Street. 2022-08-24. The core groupoid can suffice. https://arxiv.org/abs/2208.11332

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