{ "id": "1810.11901", "version": "v1", "published": "2018-10-28T23:02:13.000Z", "updated": "2018-10-28T23:02:13.000Z", "title": "Uniqueness of certain Fourier-Jacobi models over finite fields", "authors": [ "Baiying Liu", "Qing Zhang" ], "categories": [ "math.RT" ], "abstract": "In this paper, we prove the uniqueness of certain Fourier-Jacobi models for the split exceptional group $G_2$ over finite fields with odd characteristic. Similar results are also proved for $Sp_4$ and $U_4$.", "revisions": [ { "version": "v1", "updated": "2018-10-28T23:02:13.000Z" } ], "analyses": { "subjects": [ "20C33" ], "keywords": [ "fourier-jacobi models", "finite fields", "uniqueness", "split exceptional group" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }