{
  "id": "math/0303065",
  "version": "v2",
  "published": "2003-03-05T18:30:01.000Z",
  "updated": "2003-09-30T14:11:55.000Z",
  "title": "ad-nilpotent ideals of a Borel subalgebra III",
  "authors": [
    "P. Cellini",
    "P. Papi"
  ],
  "comment": "AmsTex file, 38 pages; revised version. To appear in Advances in Mathematics under the title \"Abelian ideals of Borel subalgebras and affine Weyl groups\"",
  "categories": [
    "math.RT"
  ],
  "abstract": "This paper is devoted to a detailed study of certain remarkable posets which form a natural partition of all abelian ideals of a Borel subalgebra. Our main result is a nice uniform formula for the dimension of maximal ideals in these posets. We also obtain results on ad-nilpotent ideals which complete the analysis started in \\cite{CP2}, \\cite{CP3}.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-09-30T14:11:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "borel subalgebra",
      "ad-nilpotent ideals",
      "nice uniform formula",
      "abelian ideals",
      "natural partition"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3065C"
    }
  }
}