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Koszulity of directed categories in representation stability theory

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arxiv 1411.5308 v4 pith:JWULMQPU submitted 2014-11-19 math.RT math.ATmath.RA

Wee Liang Gan , Liping Li This is my paper · ORCID
classification math.RTmath.ATmath.RA
keywords directedcategorieskoszulinfinitepartrepresentationstabilitytheory
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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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