{
  "id": "1511.04610",
  "version": "v1",
  "published": "2015-11-14T20:36:22.000Z",
  "updated": "2015-11-14T20:36:22.000Z",
  "title": "GIT-Equivalence and Semi-Stable Subcategories of Quiver Representations",
  "authors": [
    "Calin Chindris",
    "Valerie Granger"
  ],
  "categories": [
    "math.RT"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-14T20:36:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quiver representations",
      "semi-stable subcategories",
      "subcategory",
      "git-equivalence",
      "tame case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151104610C"
    }
  }
}