{
  "id": "math/0007204",
  "version": "v1",
  "published": "2000-07-01T00:00:00.000Z",
  "updated": "2000-07-01T00:00:00.000Z",
  "title": "Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group",
  "authors": [
    "Yehuda Shalom"
  ],
  "comment": "70 pages, published version, abstract added in migration",
  "journal": "Ann. of Math. (2) 152 (2000), no. 1, 113-182",
  "categories": [
    "math.RT"
  ],
  "abstract": "The article establishes a long list of rigidity properties of lattices in G = SO(n,1) with n>=3 and G = SU(n,1) with n>=2 that are analogous to superrigidity of lattices in higher-rank Lie groups. The arguments are set in the context of strongly L^p unitary representations of G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-07-01T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unitary representations",
      "transformation group",
      "semisimple groups",
      "fundamental groups",
      "higher-rank lie groups"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Princeton University and the Institute for Advanced Study",
      "journal": "Ann. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 70,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......7204S"
    }
  }
}