{
  "id": "1310.2229",
  "version": "v2",
  "published": "2013-10-08T19:19:22.000Z",
  "updated": "2014-06-03T14:59:10.000Z",
  "title": "Fundamental elements of an affine Weyl group",
  "authors": [
    "Sian Nie"
  ],
  "comment": "Some applications to good reductions of PEL shimura varieties are added",
  "categories": [
    "math.RT"
  ],
  "abstract": "Fundamental elements are certain special elements of affine Weyl groups introduced by Gortz, Haines, Kottwitz and Reuman. They play an important role in the study of affine Deligne-Lusztig varieties. In this paper, we obtain characterizations of the fundamental elements and their natural generalizations. We also derive an inverse to a version of \"Newton-Hodge decomposition\" in affine flag varieties. As an application, we obtain a group-theoretic generalization of Oort's results on minimal p-divisible groups, and we show that, in certain good reduction reduction of PEL Shimura datum, each Newton stratum contains a minimal Ekedahl-Oort stratum. This generalizes a result of Viehmann and Wedhorn.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-03T14:59:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine weyl group",
      "fundamental elements",
      "newton stratum contains",
      "affine deligne-lusztig varieties",
      "pel shimura datum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.2229N"
    }
  }
}