{
  "id": "1702.00263",
  "version": "v1",
  "published": "2017-02-01T14:03:38.000Z",
  "updated": "2017-02-01T14:03:38.000Z",
  "title": "Symmetry breaking for orthogonal groups and a conjecture by B.~Gross and D.~Prasad",
  "authors": [
    "Toshiyuki Kobayashi",
    "Birgit Speh"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We consider irreducible unitary representations $A_i$ of G=SO(n+1,1) with the same infinitesimal character as the trivial representation and representations $B_j$ of H=SO(n,1) with the same properties and discuss H-equivariant homomorphisms Hom_H($A_i,B_j$). For tempered representations our results confirm the predictions of Gross-Prasad conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-01T14:03:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "orthogonal groups",
      "symmetry breaking",
      "results confirm",
      "irreducible unitary representations",
      "h-equivariant homomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}