Koszulity of directed categories in representation stability theory

Abstract

In the first part of this paper, we study Koszul property of directed graded categories. In the second part of this paper, we prove a general criterion for an infinite directed category to be Koszul. We show that infinite directed categories in the theory of representation stability are Koszul over a field of characteristic zero.

Published version

References in corpus (4)

• Representation stability and finite linear groups
• Representations of categories of G-maps
• Noetherian property of infinite EI categories
• Representation Stability

Cited by in corpus (4)

• Homological degrees of representations of categories with shift functors
• Filtrations and Homological degrees of FI-modules
• Coinduction functor in representation stability theory
• An inductive machinery for representations of categories with shift functors