{
  "id": "0708.1363",
  "version": "v2",
  "published": "2007-08-10T04:12:28.000Z",
  "updated": "2008-01-15T17:14:05.000Z",
  "title": "On Rational Nilpotent Orbits of $SL_{n}$ and $Sp_{2n}$ over a Local Non-Archimedean Field",
  "authors": [
    "Monica Nevins"
  ],
  "comment": "v2, 27 pages. Reduced to single-spacing (from double-spaced first version of 35 pages); typos corrected in Section 2; Corollary 4.5 strengthened",
  "categories": [
    "math.RT"
  ],
  "abstract": "We relate the partition-type parametrization of rational (arithmetic) nilpotent adjoint orbits of the split classical groups $SL_n$ and $Sp_{2n}$ over local non-Archimedean fields with a parametrization, introduced by DeBacker in 2002, which uses the associated Bruhat-Tits building to relate the question to one over the residue field.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-15T17:14:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G25",
      "17B45"
    ],
    "keywords": [
      "local non-archimedean field",
      "rational nilpotent orbits",
      "nilpotent adjoint orbits",
      "split classical groups",
      "partition-type parametrization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.1363N"
    }
  }
}