{
  "id": "1712.09212",
  "version": "v1",
  "published": "2017-12-26T08:58:55.000Z",
  "updated": "2017-12-26T08:58:55.000Z",
  "title": "Conformal symmetry breaking on differential forms and some applications",
  "authors": [
    "Toshiyuki Kobayashi"
  ],
  "categories": [
    "math.RT",
    "math.DG",
    "math.NT"
  ],
  "abstract": "Rapid progress has been made recently on symmetry breaking operators for real reductive groups. Based on Program A-C for branching problems (T.Kobayashi [Progr.Math.2015]), we illustrate a scheme of the classification of (local and nonlocal) symmetry breaking operators by an example of conformal representations on differential forms on the model space $(X,Y)=(S^n, S^{n-1})$, which generalizes the scalar case (Kobayashi--Speh [Memoirs of Amer.Math.Soc. 2015]) and the case of local operators (Kobayashi--Kubo--Pevzner [Lecture Notes in Math. 2016]). Some applications to automorphic form theory, motivations from conformal geometry, and the methods of proof are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-26T08:58:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "differential forms",
      "conformal symmetry breaking",
      "applications",
      "symmetry breaking operators",
      "automorphic form theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}