{
  "id": "0904.3980",
  "version": "v1",
  "published": "2009-04-25T14:19:53.000Z",
  "updated": "2009-04-25T14:19:53.000Z",
  "title": "Tame quivers and affine enveloping algebras",
  "authors": [
    "Yong Jiang",
    "Jie Sheng"
  ],
  "comment": "30 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Let $\\mathfrak{g}$ be an affine Kac-Moody algebra with symmetric Cartan datum, $\\mathfrak{n^{+}}$ be the maximal nilpotent subalgebra of $\\mathfrak{g}$. By the Hall algebra approach, we construct integral bases of the $\\mathbb{Z}$-form of the enveloping algebra $U(\\mathfrak{n^{+}})$. In particular, the representation theory of tame quivers is essentially used in this paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-25T14:19:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "17B35"
    ],
    "keywords": [
      "affine enveloping algebras",
      "tame quivers",
      "construct integral bases",
      "hall algebra approach",
      "maximal nilpotent subalgebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3980J"
    }
  }
}