{ "id": "1701.02515", "version": "v1", "published": "2017-01-10T11:05:20.000Z", "updated": "2017-01-10T11:05:20.000Z", "title": "Restriction of representations of metaplectic $GL_{2}(F)$ to tori", "authors": [ "Shiv Prakash Patel", "Dipendra Prasad" ], "categories": [ "math.NT", "math.RT" ], "abstract": "Let $F$ be a non-Archimedean local field. We study the restriction of an irreducible admissible genuine representations of the two fold metaplectic cover $\\widetilde{GL}_{2}(F)$ of $GL_{2}(F)$ to the inverse image in $\\widetilde{GL}_{2}(F)$ of a maximal torus in $GL_{2}(F)$.", "revisions": [ { "version": "v1", "updated": "2017-01-10T11:05:20.000Z" } ], "analyses": { "keywords": [ "restriction", "fold metaplectic cover", "non-archimedean local field", "inverse image", "irreducible admissible genuine representations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }