{
  "id": "1207.5860",
  "version": "v3",
  "published": "2012-07-25T01:12:15.000Z",
  "updated": "2013-07-18T05:48:14.000Z",
  "title": "Finite Dimensional Representations of Khovanov-Lauda-Rouquier algebras I: Finite Type",
  "authors": [
    "Peter J. McNamara"
  ],
  "comment": "21pp",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We classify simple representations of Khovanov-Lauda-Rouquier algebras in finite type. The classification is in terms of a standard family of representations that is shown to yield the dual PBW basis in the Grothendieck group. Finally, we prove a conjecture describing the global dimension of these algebras.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-07-18T05:48:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite dimensional representations",
      "finite type",
      "khovanov-lauda-rouquier algebras",
      "dual pbw basis",
      "classify simple representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.5860M"
    }
  }
}