Koszulity of directed categories in representation stability theory
WL Gan, L Li - arXiv preprint arXiv:1411.5308, 2014 - arxiv.org
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.
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.
[HTML][HTML] Koszulity of directed categories in representation stability theory
WL Gan, L Li - Journal of Algebra, 2018 - Elsevier
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.
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.
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