{
  "id": "2211.13864",
  "version": "v1",
  "published": "2022-11-25T02:31:04.000Z",
  "updated": "2022-11-25T02:31:04.000Z",
  "title": "The B(G)-parametrization of the local Langlands correspondence",
  "authors": [
    "Alexander Bertoloni Meli",
    "Masao Oi"
  ],
  "comment": "15 pages",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "This article is on the parametrization of the local Langlands correspondence over p-adic fields for non-quasi-split groups according to the philosophy of Vogan. We show that a parametrization indexed by the basic part of the Kottwitz set (which is an extension of the set of pure inner twists) implies a parametrization indexed by the full Kottwitz set. On the Galois side, we consider irreducible algebraic representations of the full centralizer group of the L-parameter (i.e not a component group). These yield sheaves on the stack of Langlands parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-25T02:31:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11S37",
      "11F70"
    ],
    "keywords": [
      "local langlands correspondence",
      "pure inner twists",
      "parametrization",
      "full kottwitz set",
      "full centralizer group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}