{
  "id": "1912.13473",
  "version": "v1",
  "published": "2019-12-31T18:18:16.000Z",
  "updated": "2019-12-31T18:18:16.000Z",
  "title": "Modulo $\\ell$-representations of $p$-adic groups $\\mathrm{SL_n}(F)$",
  "authors": [
    "Peiyi Cui"
  ],
  "comment": "61 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $k$ be an algebraically closed field of characteristic $l\\neq p$. We construct maximal simple cuspidal $k$-types of Levi subgroups $\\mathrm{M}'$ of $\\mathrm{SL}_n(F)$, when $F$ is a non-archimedean locally compact field of residual characteristic $p$. We show that the supercuspidal support of irreducible smooth $k$-representations of Levi subgroups $\\mathrm{M}'$ of $\\mathrm{SL}_n(F)$ is unique up to $\\mathrm{M}'$-conjugation, when $F$ is either a finite field of characteristic $p$ or a non-archimedean locally compact field of residual characteristic $p$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-31T18:18:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adic groups",
      "non-archimedean locally compact field",
      "representations",
      "levi subgroups",
      "residual characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 61,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}