{
  "id": "1409.4039",
  "version": "v1",
  "published": "2014-09-14T09:41:11.000Z",
  "updated": "2014-09-14T09:41:11.000Z",
  "title": "The Langlands-Weissman Program for Brylinski-Deligne extensions",
  "authors": [
    "Wee Teck Gan",
    "Fan Gao"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We describe an evolving and conjectural extension of the Langlands program for a class of nonlinear covering groups of algebraic origin studied by Brylinski-Deligne. In particular, we describe the construction of an L-group extension of such a covering group (over a split reductive group) due to Weissman, study some of its properties and discuss a variant of it. Using this L-group extension, we describe a local Langlands correspondence for covering (split) tori and unramified genuine representations, using work of Savin, McNamara, Weissman and W.W. Li. Finally, we define the notion of automorphic (partial) L-functions attached to genuine automorphic representations of the BD covering groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-14T09:41:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "brylinski-deligne extensions",
      "langlands-weissman program",
      "l-group extension",
      "local langlands correspondence",
      "genuine automorphic representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.4039T"
    }
  }
}