{
  "id": "1204.0132",
  "version": "v2",
  "published": "2012-03-31T20:40:32.000Z",
  "updated": "2012-05-10T14:06:03.000Z",
  "title": "Genericity and contragredience in the local Langlands correspondence",
  "authors": [
    "Tasho Kaletha"
  ],
  "comment": "Minor changes to the introduction and references to place the paper in the proper context. Corollary 4.10 added. An inaccuracy in the treatment of even orthogonal groups fixed",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We prove the recent conjectures of Adams-Vogan and D. Prasad on the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. The proof holds for tempered representations of quasi-split real K-groups and quasi-split p-adic classical groups (in the sense of Arthur). We also prove a formula for the behavior of the local Langlands correspondence for these groups with respect to changes of the Whittaker data.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-05-10T14:06:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "local langlands correspondence",
      "genericity",
      "contragredience",
      "quasi-split p-adic classical groups",
      "quasi-split real k-groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.0132K"
    }
  }
}