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Notes on Restricted Inverse Limits of Categories

2015/04/05 by Inna Entova-Aizenbud, Entova-Aizenbud, Inna
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1504.01121

The note is meant to serve as a reference for future work

arxiv created 2015/04/05 · openalex publication_date 2015/04/05 · arxiv updated 2017/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the framework for the notion of a restricted inverse limit of categories, with the main motivating example being the category of polynomial representations of the group GL. This category is also known as the category of strict polynomial functors of finite degree, and it is the restricted inverse limit of the categories of polynomial representations of GLn. This note is meant to serve as a reference for future work.

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