{
  "id": "0905.3140",
  "version": "v1",
  "published": "2009-05-19T15:55:00.000Z",
  "updated": "2009-05-19T15:55:00.000Z",
  "title": "Discrete Components of Some Complementary Series (II)",
  "authors": [
    "T. N. Venkataramana B. Speh"
  ],
  "journal": "Forum Math 23 (2011), no 6, 1159-1187",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We show that complementary series of SO(n,1) which are sufficiently close to a cohomological representation in the Fell topology, upon restriction to SO(n-1,1), contain discretely, complementary series for SO(n-1,1) which are also sufficiently close to cohomological representations. As a global application, we show that if the non-zero eigenvalues of the Laplacian for differential forms of middle degree on congruence quotients of the hyperbolic n-space remain bounded away from zero (for all even n), then nonzero eigenvalues of the Laplacian on forms of arbitrary degree remain bonded away from zero; this reduces conjectures of Clozel and Bergeron to the case of middle degree forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-19T15:55:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F75"
    ],
    "keywords": [
      "complementary series",
      "discrete components",
      "arbitrary degree remain bonded away",
      "hyperbolic n-space remain bounded away",
      "middle degree"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.3140S"
    }
  }
}