{
  "id": "2309.12590",
  "version": "v1",
  "published": "2023-09-22T02:37:33.000Z",
  "updated": "2023-09-22T02:37:33.000Z",
  "title": "On the upper bound of the multiplicities of Fourier-Jacobi models over finite fields",
  "authors": [
    "Fang Shi"
  ],
  "comment": "accepted by Journal of Algebra",
  "journal": "Journal of Algebra, 634 (2023) 585-598",
  "doi": "10.1016/j.jalgebra.2023.07.027",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In general the multiplicity one theorem fails for Fourier-Jacobi models over finite fields. In this paper we prove that there is an upper bound for the multiplicities of Fourier-Jacobi models which is independent of $q$. As a consequence, we prove a conjecture of Hiss and Schr\\\"oer.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-09-22T02:37:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fourier-jacobi models",
      "finite fields",
      "upper bound",
      "multiplicity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}