{ "id": "1602.03453", "version": "v1", "published": "2016-02-10T17:24:16.000Z", "updated": "2016-02-10T17:24:16.000Z", "title": "Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)", "authors": [ "Masao Oi" ], "comment": "37 pages", "categories": [ "math.NT", "math.RT" ], "abstract": "We compute the characters of simple supercuspidal representations of twisted GL(2n) and standard SO(2n+1) over a p-adic field. Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of SO(2n+1) to GL(2n), under the assumption that p is not equal to 2.", "revisions": [ { "version": "v1", "updated": "2016-02-10T17:24:16.000Z" } ], "analyses": { "subjects": [ "22E50", "11F70", "11L05" ], "keywords": [ "simple supercuspidal representations", "endoscopic lifting", "endoscopic character relation", "p-adic field", "twisted gl" ], "note": { "typesetting": "TeX", "pages": 37, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160203453O" } } }