{
  "id": "math/0411113",
  "version": "v2",
  "published": "2004-11-05T13:43:24.000Z",
  "updated": "2005-07-30T15:41:55.000Z",
  "title": "Verma modules and preprojective algebras",
  "authors": [
    "Christof Geiss",
    "Bernard Leclerc",
    "Jan Schröer"
  ],
  "comment": "Minor changes. Final version. To appear in Nagoya Math. Journal",
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a geometric construction of the Verma modules of a symmetric Kac-Moody Lie algebra in terms of constructible functions on the varieties of nilpotent finite-dimensional modules of the corresponding preprojective algebra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-07-30T15:41:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M99",
      "16G20",
      "17B67"
    ],
    "keywords": [
      "verma modules",
      "preprojective algebra",
      "symmetric kac-moody lie algebra",
      "nilpotent finite-dimensional modules",
      "geometric construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11113G"
    }
  }
}