{
  "id": "1411.6310",
  "version": "v1",
  "published": "2014-11-23T22:35:34.000Z",
  "updated": "2014-11-23T22:35:34.000Z",
  "title": "On parabolic induction on inner forms of the general linear group over a non-archimedean local field",
  "authors": [
    "Erez Lapid",
    "Alberto Mínugez"
  ],
  "comment": "Para Lou, en el d\\'ia de su nacimiento, with an appendix joint with Marko Tadi\\'c",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We give new criteria for the irreducibility of parabolic induction on the general linear group and its inner forms over a local non-archimedean field. In particular, we give a necessary and sufficient condition when the inducing data is of the form $\\pi\\otimes\\sigma$ where $\\pi$ is a Speh representation and $\\sigma$ is an arbitrary irreducible representation. As an application we simplify the proof of the classification of the unitary dual.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-23T22:35:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general linear group",
      "non-archimedean local field",
      "parabolic induction",
      "inner forms",
      "local non-archimedean field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1411.6310L"
    }
  }
}