{
  "id": "0903.1418",
  "version": "v2",
  "published": "2009-03-08T12:49:58.000Z",
  "updated": "2009-12-08T09:49:53.000Z",
  "title": "Dual pairs and contragredients of irreducible representations",
  "authors": [
    "Binyong Sun"
  ],
  "journal": "Pacific. J. Math., 249 (2011), 485--494",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $G$ be a classical group $\\GL(n)$, $\\oU(n)$, $\\oO(n)$ or $\\Sp(2n)$, over a non-archimedean local field of characteristic zero. Let $\\pi$ be an irreducible admissible smooth representation of $G$. It is well known that the contragredient of $\\pi$ is isomorphic to a twist of $\\pi$ by an automorphism of $G$. We prove a similar result for double covers of $G$ which occur in the study of local theta correspondences.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-08T09:49:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E35",
      "22E46"
    ],
    "keywords": [
      "dual pairs",
      "irreducible representations",
      "contragredient",
      "local theta correspondences",
      "non-archimedean local field"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.1418S"
    }
  }
}