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arXiv · 1003.1317

Representations of Thread Quivers

Carl Fredrik Berg·Adam-Christiaan van Roosmalen
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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.

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BibTeXRIS

Carl Fredrik Berg, Adam-Christiaan van Roosmalen. 2013-07-03. Representations of Thread Quivers. https://doi.org/10.1112/plms%2Fpdt021

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