{
  "id": "1212.6871",
  "version": "v1",
  "published": "2012-12-31T11:52:07.000Z",
  "updated": "2012-12-31T11:52:07.000Z",
  "title": "Varna Lecture on L^2-Analysis of Minimal Representations",
  "authors": [
    "Toshiyuki Kobayashi"
  ],
  "journal": "Springer Proceedings in Mathematics & Statistics 36, 2013, pp. 77-93",
  "doi": "10.1007/978-4-431-54270-4_6",
  "categories": [
    "math.RT",
    "math-ph",
    "math.CA",
    "math.MP"
  ],
  "abstract": "Minimal representations of a real reductive group G are the \"smallest\" irreducible unitary representations of G. The author suggests a program of global analysis built on minimal representations from the philosophy: small representation of a group = large symmetries in a representation space. This viewpoint serves as a driving force to interact algebraic representation theory with geometric analysis of minimal representations, yielding a rapid progress on the program. We give a brief guidance to recent works with emphasis on the Schroedinger model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-31T11:52:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "22E45",
      "53A30",
      "46F15",
      "58J15"
    ],
    "keywords": [
      "minimal representations",
      "varna lecture",
      "interact algebraic representation theory",
      "global analysis built",
      "geometric analysis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6871K"
    }
  }
}