{
  "id": "math/0303182",
  "version": "v2",
  "published": "2003-03-14T23:23:27.000Z",
  "updated": "2003-09-19T15:56:55.000Z",
  "title": "B-stable ideals in the nilradical of a Borel subalgebra",
  "authors": [
    "Eric Sommers"
  ],
  "comment": "We correct the lemmas in Section 3 in the earlier version",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We count the number of strictly positive $B$-stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any $B$-stable ideal are conjugate by an element of the Weyl group to a subset of the simple roots. We also compute the number of ideals whose minimal roots are conjugate to a fixed subset of simple roots.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-09-19T15:56:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "borel subalgebra",
      "b-stable ideals",
      "simple roots",
      "minimal roots",
      "nilradical"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3182S"
    }
  }
}