{
  "id": "1811.04293",
  "version": "v1",
  "published": "2018-11-10T19:14:23.000Z",
  "updated": "2018-11-10T19:14:23.000Z",
  "title": "Theta lifts of generic representations for dual pairs $(\\mathrm{Sp}_{2n}, \\mathrm{O}(V))$",
  "authors": [
    "Petar Bakic"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We determine the occurrence and explicitly describe the theta lifts on all levels of all the irreducible generic representations for the dual pair of groups $(\\mathrm{Sp}_{2n}, \\mathrm{O}(V))$ defined over a local nonarchimedean field $\\mathbb{F}$ of characteristic $0$. As a direct application of our results, we are able to produce a series of non-generic unitarizable representations of these groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-10T19:14:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E35",
      "22E50",
      "11F70"
    ],
    "keywords": [
      "theta lifts",
      "dual pair",
      "local nonarchimedean field",
      "irreducible generic representations",
      "direct application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}