{
  "id": "1212.0606",
  "version": "v1",
  "published": "2012-12-04T02:39:29.000Z",
  "updated": "2012-12-04T02:39:29.000Z",
  "title": "Rigidity of formal characters of Lie algebras (II)",
  "authors": [
    "Zhongguo Zhou"
  ],
  "comment": "8 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "For a complex simple Lie algebra of type A_l,B_l,C_l or D_l, given a family of elements f_\\lambda\\ in commutative ring Z[\\Lambda], we show that f_\\lambda\\ is just the formal character of the Weyl module V(\\lambda) if f_\\lambda\\ satisfy several natural conditions. Hence we give a necessary and sufficient condition for constructing a family of g_l-modules from a family of g_{l-1}-modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-04T02:39:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "20G05"
    ],
    "keywords": [
      "formal character",
      "complex simple lie algebra",
      "sufficient condition",
      "weyl module",
      "natural conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.0606Z"
    }
  }
}