{ "id": "1802.07154", "version": "v1", "published": "2018-02-20T15:36:13.000Z", "updated": "2018-02-20T15:36:13.000Z", "title": "On the support of matrix coefficients of supercuspidal representations of the general linear group over a local non-archimedean field", "authors": [ "Erez Lapid" ], "categories": [ "math.RT", "math.NT" ], "abstract": "We derive an upper bound on the support of matrix coefficients of suprecuspidal representations of the general linear group over a non-archimedean local field. The results are in par with those which can be obtained from the Bushnell--Kutzko classification of supercuspidal representations, but they are proved independently.", "revisions": [ { "version": "v1", "updated": "2018-02-20T15:36:13.000Z" } ], "analyses": { "keywords": [ "general linear group", "local non-archimedean field", "matrix coefficients", "supercuspidal representations", "non-archimedean local field" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }