{
  "id": "math/0005119",
  "version": "v1",
  "published": "2000-05-11T21:09:20.000Z",
  "updated": "2000-05-11T21:09:20.000Z",
  "title": "Affine Lie Algebras and Tame Quivers",
  "authors": [
    "Igor Frenkel",
    "Anton Malkin",
    "Maxim Vybornov"
  ],
  "comment": "48 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "C.M. Ringel defined Hall algebra associated with the category of representations of a quiver of Dynkin type and gave an explicit description of the structure constants of the corresponding Lie algebra. We utilize functorial properties of the Hall algebra to give a simple proof of Ringel's result, and to generalize it to the case of a quiver of affine type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-05-11T21:09:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine lie algebras",
      "tame quivers",
      "affine type",
      "ringels result",
      "simple proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 48,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......5119F"
    }
  }
}