{ "id": "1302.4304", "version": "v1", "published": "2013-02-18T15:09:15.000Z", "updated": "2013-02-18T15:09:15.000Z", "title": "Langlands parameters for epipelagic representations of $\\text{\\rm GL}_n$", "authors": [ "Colin J. Bushnell", "Guy Henniart" ], "comment": "25 pages", "doi": "10.1007/s00208-013-0962-x", "categories": [ "math.NT", "math.RT" ], "abstract": "Let $F$ be a non-Archimedean local field. An irreducible cuspidal representation of $\\text{\\rm GL}_n(F)$ is epipelagic if its Swan conductor equals 1. We give a full and explicit description of the Langlands parameters of such representations.", "revisions": [ { "version": "v1", "updated": "2013-02-18T15:09:15.000Z" } ], "analyses": { "subjects": [ "22E50" ], "keywords": [ "langlands parameters", "epipelagic representations", "non-archimedean local field", "swan conductor equals", "explicit description" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1302.4304B" } } }