{
  "id": "math/0408380",
  "version": "v1",
  "published": "2004-08-27T08:53:36.000Z",
  "updated": "2004-08-27T08:53:36.000Z",
  "title": "Distinguished representations, base change, and reducibility for unitary groups",
  "authors": [
    "U. K. Anandavardhanan",
    "C. S. Rajan"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We show the equality of the local Asai L-functions defined via the Rankin-Selberg method and the Langlands-Shahidi method for a square integrable representation of GL(n,E). As a consequence we characterise reducibility of certain induced representations of U(n,n), and the image of the base change map from U(n) to GL(n,E) in terms of GL(n,F)-distinguishedness.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-27T08:53:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70",
      "22E50"
    ],
    "keywords": [
      "unitary groups",
      "distinguished representations",
      "base change map",
      "rankin-selberg method",
      "langlands-shahidi method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8380A"
    }
  }
}