GIT-Equivalence and Semi-Stable Subcategories of Quiver Representations
Representation Theory
2016-03-29 v2
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.
Keywords
Cite
@article{arxiv.1511.04610,
title = {GIT-Equivalence and Semi-Stable Subcategories of Quiver Representations},
author = {Calin Chindris and Valerie Granger},
journal= {arXiv preprint arXiv:1511.04610},
year = {2016}
}