{
  "id": "2102.09121",
  "version": "v1",
  "published": "2021-02-18T02:47:21.000Z",
  "updated": "2021-02-18T02:47:21.000Z",
  "title": "Characters of irreducible unitary representations of $U(n, n+1)$ via double lifting from $U(1)$",
  "authors": [
    "Allan Merino"
  ],
  "comment": "29 Pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we obtained character formulas of irreducible unitary representations of $U(n, n+1)$ by using Howe's correspondence and the Cauchy--Harish-Chandra integral. The representations of $U(n, n+1)$ we are dealing with are obtained from a double lifting of a representation of $U(1)$ via the dual pairs $(U(1), U(1, 1))$ and $(U(1, 1), U(n, n+1))$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-18T02:47:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E45",
      "22E46",
      "22E30"
    ],
    "keywords": [
      "irreducible unitary representations",
      "double lifting",
      "howes correspondence",
      "cauchy-harish-chandra integral",
      "character formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}