{
  "id": "2003.13248",
  "version": "v1",
  "published": "2020-03-30T07:48:25.000Z",
  "updated": "2020-03-30T07:48:25.000Z",
  "title": "A Wild Local Shimura Correpsondence",
  "authors": [
    "Edmund Karasiewicz"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "For the $n$-fold cover of a simply-laced simply-connected Chevalley group $G$ over a $p$-adic field $F$, where GCD$(n,p)=1$, Savin proved a correspondence between certain genuine representations of the $n$-fold cover of $G$ and the Iwahori-spherical representations of the group $G/Z_{n}$, where $Z_{n}$ is the $n$-torsion of the center of $G$. In this paper we prove the analogous result when $n=2$ and $F=\\mathbb{Q}_{2}$. In particular, GCD$(n,p)\\neq 1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-30T07:48:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70"
    ],
    "keywords": [
      "wild local shimura correpsondence",
      "fold cover",
      "simply-laced simply-connected chevalley group",
      "adic field",
      "genuine representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}