{
  "id": "1805.03031",
  "version": "v1",
  "published": "2018-05-08T14:01:34.000Z",
  "updated": "2018-05-08T14:01:34.000Z",
  "title": "On unitary representations of disconnected real reductive groups",
  "authors": [
    "Domagoj Kovacevic"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $G$ be the real reductive group and let $G_0$ be the identity component. Let us assume that the unitary dual $\\hat{G_0}$ is known. In this paper (in Section 5) the unitary dual $\\hat{G}$ is constructed. Automorphisms of $G_0$ generated by elements of $G$ are the main ingredient of the construction. If the automorphism is outer, one has to consider the corresponding intertwining operators $S$. Operators $S$ and their properties are analyzed in Section 4. Automorphisms of $g_0$ are closely related to automorphisms of $G_0$. They are investigated in Section 3. Automorphisms of so(4,4)$ are analyzed in Subsection 3.1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-08T14:01:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "disconnected real reductive groups",
      "unitary representations",
      "automorphism",
      "unitary dual",
      "identity component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}