{
  "id": "0710.3492",
  "version": "v1",
  "published": "2007-10-18T12:30:38.000Z",
  "updated": "2007-10-18T12:30:38.000Z",
  "title": "Global Mixed Periods and local Klyachko models for the general linear group",
  "authors": [
    "Omer Offen",
    "Eitan Sayag"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We show that every irreducible representation in the discrete automorphic spectrum of GL(n) admits a non vanishing mixed (Whittaker-symplectic) period integral. The analog local problem is a study of models first considered by Klyachko over a finite field. Locally, we show that for a p-adic field F every irreducible, unitary representation of GL(n,F) has a Klyachko model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-18T12:30:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F67"
    ],
    "keywords": [
      "local klyachko models",
      "general linear group",
      "global mixed periods",
      "analog local problem",
      "discrete automorphic spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3492O"
    }
  }
}