Representations of Thread Quivers
Representation Theory
2013-07-04 v2
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.
Cite
@article{arxiv.1003.1317,
title = {Representations of Thread Quivers},
author = {Carl Fredrik Berg and Adam-Christiaan van Roosmalen},
journal= {arXiv preprint arXiv:1003.1317},
year = {2013}
}
Comments
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