Koszulity of directed categories in representation stability theory

Wee Liang Gan Liping Li

Combinatorics K-Theory and Homology Representation Theory Rings and Algebras mathscidoc:1702.06003

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
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@inproceedings{weekoszulity,
  title={Koszulity of directed categories in representation stability theory},
  author={Wee Liang Gan, and Liping Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222110115466765504},
}
Wee Liang Gan, and Liping Li. Koszulity of directed categories in representation stability theory. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170222110115466765504.
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