{
  "id": "1311.1606",
  "version": "v2",
  "published": "2013-11-07T08:38:08.000Z",
  "updated": "2014-09-16T09:31:02.000Z",
  "title": "Depth and the local Langlands correspondence",
  "authors": [
    "Paul Baum",
    "Anne-Marie Aubert",
    "Roger Plymen",
    "Maarten Solleveld"
  ],
  "comment": "The proof of Lemma 3.2 in the first version contained a mistake. In the second version the analysis of depth for inner forms of SL_n was extended and paragraph 2.4 was simplified",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be an inner form of a general linear group over a non-archimedean local field. We prove that the local Langlands correspondence for G preserves depths. We also show that the local Langlands correspondence for inner forms of special linear groups preserves the depths of essentially tame Langlands parameters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-07T08:38:08.000Z",
      "abstract": "Let G be an inner form of a general linear group or a special linear group over a non-archimedean local field. We prove that the local Langlands correspondence for G preserves depths.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-16T09:31:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G25",
      "22E50"
    ],
    "keywords": [
      "local langlands correspondence",
      "general linear group",
      "non-archimedean local field",
      "special linear group",
      "inner form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1606B"
    }
  }
}