{
  "id": "math/0106057",
  "version": "v2",
  "published": "2001-06-08T15:50:44.000Z",
  "updated": "2001-12-17T10:29:29.000Z",
  "title": "ad-Nilpotent ideals of a Borel subalgebra II",
  "authors": [
    "Paola Cellini",
    "Paolo Papi"
  ],
  "comment": "AMS-TeX file, 9 pages; revised version. To appear in Journal of Algebra",
  "journal": "J. Algebra 258 (2002), no. 1, 112--121.",
  "categories": [
    "math.RT"
  ],
  "abstract": "We provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a simple Lie algebra g and the orbits of \\check{Q}/(h+1)\\check{Q} under the Weyl group (\\check{Q} being the coroot lattice and h the Coxeter number of g). From this result we deduce in a uniform way a counting formula for the ad-nilpotent ideals.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-12-17T10:29:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B20",
      "20F55"
    ],
    "keywords": [
      "ad-nilpotent ideals",
      "borel subalgebra",
      "simple lie algebra",
      "explicit bijection",
      "weyl group"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......6057C"
    }
  }
}