{
  "id": "1908.09819",
  "version": "v1",
  "published": "2019-08-26T17:43:53.000Z",
  "updated": "2019-08-26T17:43:53.000Z",
  "title": "On the construction of tame supercuspidal representations",
  "authors": [
    "Jessica Fintzen"
  ],
  "comment": "16 pages; this article supersedes Section 2 and 3 of arXiv:1905.06374v2",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let F be a non-archimedean local field of odd residual characteristic. Let G be a (connected) reductive group over F that splits over a tamely ramified field extension of F. We revisit Yu's construction of smooth complex representations of G(F) from a slightly different perspective and provide a proof that the resulting representations are supercuspidal. We also provide a counterexample to Proposition 14.1 and Theorem 14.2 in [Yu01], whose proofs relied on a typo in a reference.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-26T17:43:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tame supercuspidal representations",
      "non-archimedean local field",
      "smooth complex representations",
      "odd residual characteristic",
      "revisit yus construction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}