{
  "id": "1511.06216",
  "version": "v1",
  "published": "2015-11-19T15:46:26.000Z",
  "updated": "2015-11-19T15:46:26.000Z",
  "title": "Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras",
  "authors": [
    "Christof Geiss",
    "Bernard Leclerc",
    "Jan Schröer"
  ],
  "comment": "This article, together with \"Quiver with relations for symmetrizable Cartan matrices II: Change of symmetrizers\" (arXiv:1511.05898), replaces arXiv:1502.01565, which has been withdrawn",
  "categories": [
    "math.RT"
  ],
  "abstract": "We realize the enveloping algebra of the positive part of a semisimple complex Lie algebra as a convolution algebra of constructible functions on module varieties of some Iwanaga-Gorenstein algebras of dimension 1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-19T15:46:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetrizable cartan matrices",
      "convolution algebra",
      "semisimple complex lie algebra",
      "module varieties",
      "iwanaga-gorenstein algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151106216G"
    }
  }
}