{ "id": "1906.03615", "version": "v1", "published": "2019-06-09T11:20:43.000Z", "updated": "2019-06-09T11:20:43.000Z", "title": "Shintani lifts for Weil representations of unitary groups over finite fields", "authors": [ "Naoki Imai", "Takahiro Tsushima" ], "comment": "12 pages", "categories": [ "math.RT", "math.NT" ], "abstract": "We construct extended Weil representations of unitary groups over finite fields geometrically, and show that they are Shintani lifts for Weil representations.", "revisions": [ { "version": "v1", "updated": "2019-06-09T11:20:43.000Z" } ], "analyses": { "subjects": [ "20C33", "11F27" ], "keywords": [ "unitary groups", "shintani lifts", "finite fields", "construct extended weil representations" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }