{
  "id": "math/0408239",
  "version": "v1",
  "published": "2004-08-18T09:53:26.000Z",
  "updated": "2004-08-18T09:53:26.000Z",
  "title": "Smooth Lie groups over local fields of positive characteristic need not be analytic",
  "authors": [
    "Helge Glockner"
  ],
  "comment": "19 pages, LaTeX",
  "categories": [
    "math.GR"
  ],
  "abstract": "We describe finite-dimensional smooth Lie groups over local fields of positive characteristic which do not admit an analytic Lie group structure compatible with the given topological group structure, and C^n-Lie groups without a compatible C^{n+1}-Lie group structure, for each positive integer n. We also present examples of non-analytic, smooth automorphisms of Lie groups over such fields, as well as C^n-automorphisms which fail to be C^{n+1}.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-18T09:53:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E20",
      "20G25",
      "22D05",
      "22D45",
      "26E30"
    ],
    "keywords": [
      "local fields",
      "positive characteristic",
      "finite-dimensional smooth lie groups",
      "analytic lie group structure compatible"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8239G"
    }
  }
}