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arXiv · 1511.04610

GIT-Equivalence and Semi-Stable Subcategories of Quiver Representations

Calin Chindris·Valerie Granger
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Abstract

In this paper, we answer the question of when the subcategory of semi-stable representations is the same for two rational vectors for an acyclic quiver. This question has been previously answered by Ingalls, Paquette, and Thomas in the tame case in [10]. Here we take a more invariant theoretic approach, to answer this question in general. We recover the known result in the tame case.

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BibTeXRIS

Calin Chindris, Valerie Granger. 2016-03-28. GIT-Equivalence and Semi-Stable Subcategories of Quiver Representations. https://arxiv.org/abs/1511.04610

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