GIT-equivalence and semi-stable subcategories of quiver representations |
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| Authors: | Calin Chindris Valerie Granger |
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| Affiliation: | 1. University of Missouri-Columbia, Mathematics Department, Columbia, MO, USA;2. Coker College, Science and Mathematics Department, Hartsville, SC 29550, USA |
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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 [14]. 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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| Keywords: | 16G20 13A50 Semi-stable quiver representations GIT-cones Schur roots Tame quivers |
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