Koszulity of directed categories in representation stability theory
Representation Theory
2018-02-23 v4 Algebraic Topology
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1411.5308,
title = {Koszulity of directed categories in representation stability theory},
author = {Wee Liang Gan and Liping Li},
journal= {arXiv preprint arXiv:1411.5308},
year = {2018}
}
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