{
  "id": "1505.06757",
  "version": "v1",
  "published": "2015-05-25T20:58:19.000Z",
  "updated": "2015-05-25T20:58:19.000Z",
  "title": "On Existence of Generic Cusp Forms on Semisimple Algebraic Groups",
  "authors": [
    "Allen Moy",
    "Goran Muić"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper we discuss the existence of certain classes of cuspidal automorphic representations having non-zero Fourier coefficients for general semisimple algebraic group $G$ defined over a number field $k$ such that its Archimedean group $G_\\infty$ is not compact. When $G$ is quasi--split over $k$, we obtain a result on existence of generic cuspidal automorphic representations which generalize a result of Vign\\' eras, Henniart, and Shahidi. We also discuss the existence of cuspidal automorphic forms with non--zero Fourier coefficients for congruence of subgroups of $G_\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-25T20:58:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generic cusp forms",
      "non-zero fourier coefficients",
      "generic cuspidal automorphic representations",
      "general semisimple algebraic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150506757M"
    }
  }
}