{ "id": "1603.08316", "version": "v1", "published": "2016-03-28T05:49:06.000Z", "updated": "2016-03-28T05:49:06.000Z", "title": "Endoscopic lifting of simple supercuspidal representations of U(N) to GL(N)", "authors": [ "Masao Oi" ], "comment": "48 pages. arXiv admin note: substantial text overlap with arXiv:1602.03453", "categories": [ "math.NT", "math.RT" ], "abstract": "Let U(N) be the quasi-split unitary group in N variables for a quadratic unramified extension of p-adic fields. We compute the characters of simple supercuspidal representations of twisted GL(N) and U(N). Comparing them by the endoscopic character relation, we determine the liftings of simple supercuspidal representations of U(N) to GL(N), under the assumption that p is not equal to 2.", "revisions": [ { "version": "v1", "updated": "2016-03-28T05:49:06.000Z" } ], "analyses": { "subjects": [ "22E50", "11F70", "11L05" ], "keywords": [ "simple supercuspidal representations", "endoscopic lifting", "quasi-split unitary group", "endoscopic character relation", "quadratic unramified extension" ], "note": { "typesetting": "TeX", "pages": 48, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160308316O" } } }