{
  "id": "math/0305293",
  "version": "v1",
  "published": "2003-05-20T19:42:15.000Z",
  "updated": "2003-05-20T19:42:15.000Z",
  "title": "Weight modules over exp-polynomial Lie algebras",
  "authors": [
    "Yuly Billig",
    "Kaiming Zhao"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial ``highest weight'' has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occur over the classical Virasoro algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-05-20T19:42:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B65",
      "17B70"
    ],
    "keywords": [
      "exp-polynomial lie algebras",
      "finite dimensional weight spaces",
      "highest weight module",
      "polynomial multiplication",
      "classical virasoro algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......5293B"
    }
  }
}