{
  "id": "2206.14731",
  "version": "v1",
  "published": "2022-06-29T15:55:46.000Z",
  "updated": "2022-06-29T15:55:46.000Z",
  "title": "Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field",
  "authors": [
    "Eyal Kaplan",
    "Erez Lapid",
    "Jiandi Zou"
  ],
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let $F$ be a non-archimedean local field. The classification of the irreducible representations of $GL_n(F)$, $n\\ge0$ in terms of supercuspidal representations is one of the highlights of the Bernstein--Zelevinsky theory. We give an analogous classification for metaplectic coverings of $GL_n(F)$, $n\\ge0$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-29T15:55:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-archimedean local field",
      "general linear group",
      "irreducible representations",
      "metaplectic covers",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}