{
  "id": "1402.1392",
  "version": "v1",
  "published": "2014-02-06T16:19:55.000Z",
  "updated": "2014-02-06T16:19:55.000Z",
  "title": "Stability conditions for preprojective algebras and root systems of Kac-Moody Lie algebras",
  "authors": [
    "Akishi Ikeda"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "The aim of this paper is to study the space of stability conditions on the bounded derived category of nilpotent modules over the preprojective algebra associated with a quiver without loops. We describe this space as a covering space of some open set determined by the root system of the Kac-Moody Lie algebra associated with the quiver.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-06T16:19:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "root system",
      "stability conditions",
      "preprojective algebra",
      "nilpotent modules",
      "kac-moody lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.1392I"
    }
  }
}