{ "id": "1805.01400", "version": "v1", "published": "2018-05-03T16:15:21.000Z", "updated": "2018-05-03T16:15:21.000Z", "title": "Simple supercuspidal L-packets of quasi-split classical groups", "authors": [ "Masao Oi" ], "comment": "125 pages", "categories": [ "math.NT", "math.RT" ], "abstract": "In this paper, for quasi-split classical groups over p-adic fields, we determine the L-packets consisting of simple supercuspidal representations and their corresponding L-parameters, under the assumption that p is not equal to 2. The key is an explicit computation of characters of simple supercuspidal representations and the endoscopic character relation, which is a characterization of the local Langlands correspondence for quasi-split classical groups.", "revisions": [ { "version": "v1", "updated": "2018-05-03T16:15:21.000Z" } ], "analyses": { "subjects": [ "22E50", "11F70", "11L05" ], "keywords": [ "quasi-split classical groups", "simple supercuspidal l-packets", "simple supercuspidal representations", "endoscopic character relation", "local langlands correspondence" ], "note": { "typesetting": "TeX", "pages": 125, "language": "en", "license": "arXiv", "status": "editable" } } }