{
  "id": "math/0303222",
  "version": "v1",
  "published": "2003-03-18T17:05:23.000Z",
  "updated": "2003-03-18T17:05:23.000Z",
  "title": "Long Abelian ideals",
  "authors": [
    "Dmitri I. Panyushev"
  ],
  "comment": "LaTeX2e, 8 pages",
  "journal": "Adv. in Math. 186 (2004), 307-316",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We study Abelian ideals of a Borel subalgebra consisting of long roots. It is shown that methods of Cellini and Papi can be extended to this situation. A uniform expression for the number of long Abelian ideals is given. We also show that there is a one-to-one correspondence between the long Abelian ideals and B-stable commutative subalgebras in the little adjoint representation of the Langlands dual Lie algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-03-18T17:05:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long abelian ideals",
      "langlands dual lie algebra",
      "little adjoint representation",
      "study abelian ideals",
      "one-to-one correspondence"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......3222P"
    }
  }
}