Deligne categories and representations of the finite general linear group, part 1: universal property

Inna Entova-Aizenbud, Thorsten Heidersdorf

We study the Deligne interpolation categories $\underline{\mathrm{Rep}}(G{L}_t({\mathbb{F}}_q))$ for $t\in \mathbb{C}$, first introduced by F. Knop. These categories interpolate the…