{
  "id": "0705.2168",
  "version": "v1",
  "published": "2007-05-15T15:39:20.000Z",
  "updated": "2007-05-15T15:39:20.000Z",
  "title": "Multiplicity one Conjectures",
  "authors": [
    "Steve Rallis",
    "Gérard Schiffmann"
  ],
  "comment": "111 pages, no figures",
  "categories": [
    "math.RT"
  ],
  "abstract": "In the first part, in the local non archimedean case, we consider distributions on GL(n+1) which are invariant under the adjoint action of GL(n). We conjecture that such distributions are invariant by transposition. This would imply multiplicity at most one for restrictions from GL(n+1) to GL(n). We reduce ourselves to distributions with \"singular\" support and then finish the proof for n< 9. In the second part we show that similar Theorems for orthogonal or unitary groups follow from the case of GL(n)",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-15T15:39:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjecture",
      "local non archimedean case",
      "distributions",
      "first part",
      "unitary groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 111,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.2168R"
    }
  }
}