{
  "id": "0902.3801",
  "version": "v2",
  "published": "2009-02-22T16:21:01.000Z",
  "updated": "2009-03-04T14:04:50.000Z",
  "title": "Whittaker Modules for Graded Lie Algebras",
  "authors": [
    "Bin Wang"
  ],
  "comment": "11pages, fixed a number of errors",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we study Whittaker modules for graded Lie algebras. We define Whittaker modules for a class of graded Lie algebras and obtain a bijective correspondence between the set of isomorphism classes of Whittaker modules and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra. As a consequence of this, we obtain a classification of simple Whittaker modules for such algebras. Also, we study some concrete algebras as examples.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-04T14:04:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B10",
      "17B68"
    ],
    "keywords": [
      "graded lie algebras",
      "simple whittaker modules",
      "define whittaker modules",
      "study whittaker modules",
      "isomorphism classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0902.3801W"
    }
  }
}