{
  "id": "0704.2250",
  "version": "v2",
  "published": "2007-04-18T17:22:03.000Z",
  "updated": "2009-12-23T12:29:50.000Z",
  "title": "Grothendieck rings of basic classical Lie superalgebras",
  "authors": [
    "A. N. Sergeev",
    "A. P. Veselov"
  ],
  "comment": "34 pages, revised version, to appear in Annals of Math",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "The Grothendieck rings of finite dimensional representations of the basic classical Lie superalgebras are explicitly described in terms of the corresponding generalised root systems. We show that they can be interpreted as the subrings in the weight group rings invariant under the action of certain groupoids called Weyl groupoids.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-23T12:29:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "basic classical lie superalgebras",
      "grothendieck rings",
      "weight group rings invariant",
      "finite dimensional representations",
      "corresponding generalised root systems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.2250S"
    }
  }
}