Notes on Restricted Inverse Limits of Categories

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 $G{L}_{\infty }$. 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 $G{L}_n$. This note is meant to serve as a reference for future work.

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

References in corpus (1)

• Equivariant Sheaves on Flag Varieties

Cited by in corpus (2)

• Categorical actions and multiplicities in the Deligne category $\underline{Rep}(G{L}_t)$
• Super duality for quantum affine algebras of type $A$