Representations of Thread Quivers

Abstract

We introduce thread quivers as an (infinite) generalization of quivers, and show that every k-linear (k algebraically closed) hereditary category with Serre duality and enough projectives is equivalent to the category of finitely presented representations of a thread quiver. In this way, we obtain an explicit construction of a new class of hereditary categories with Serre duality.

As accepted by the Proceedings of the London Mathematical Society; some differences in label and page numbering may occur between this version and the published version

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