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Koszulity of Directed Graded k-linear Categories and Their Quadratic Dual
- Tousignant, Jordan
- Advisor(s): Gan, Wee L
Abstract
We define a family of categories related to the category of finite sets and injective functions. We show that the k-linearizations of these categories are Koszul, where k is a field of characteristic 0, using the language of directed graded k-linear categories. We also describe their quadratic dual categories in special cases.
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