An application of Nakayama functor in representation stability theory

Abstract

Using the Nakayama functor, we construct an equivalence from a Serre quotient category of a category of finitely generated modules to a category of finite-dimensional modules. We then apply this result to the categories FI${}_G$ and VI${}_q$, and answer positively an open question of Nagpal on representation stability theory.

Comments welcome

References in corpus (1)

• Noetherian property of infinite EI categories