{
  "id": "math/0307052",
  "version": "v1",
  "published": "2003-07-03T16:02:31.000Z",
  "updated": "2003-07-03T16:02:31.000Z",
  "title": "On the Hodge-Newton decomposition for split groups",
  "authors": [
    "Robert E. Kottwitz"
  ],
  "journal": "Internat. Math. Res. Notices 26 (2003), 1433-1447",
  "categories": [
    "math.RT"
  ],
  "abstract": "The main purpose of this paper is to prove a group-theoretic generalization of a theorem of Katz on isocrystals. Along the way we reprove the group-theoretic generalization of Mazur's inequality for isocrystals due to Rapoport-Richartz, and generalize from split groups to unramified groups a result of Kottwitz-Rapoport which determines when an affine Deligne-Lusztig subset of the affine Grassmannian is non-empty.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-07-03T16:02:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S25",
      "14L05",
      "14F30"
    ],
    "keywords": [
      "split groups",
      "hodge-newton decomposition",
      "group-theoretic generalization",
      "affine deligne-lusztig subset",
      "main purpose"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7052K"
    }
  }
}