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GIT-Equivalence and Semi-Stable Subcategories of Quiver Representations

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.

preprint2016arXivOpen access
Calin ChindrisValerie Granger
math.RT
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Calin ChindrisValerie Granger

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