{ "id": "1101.4862", "version": "v2", "published": "2011-01-25T16:14:30.000Z", "updated": "2012-11-08T23:18:14.000Z", "title": "Base change and theta correspondences for supercuspidal representations of SL(2)", "authors": [ "David Manderscheid" ], "comment": "This is a revison of a previous version of the paper. Typos have been corrected and more details of the argument have been added", "categories": [ "math.RT" ], "abstract": "Let F be a p-adic field with p odd. Quadratic base change and theta-lifting are shown to be compatible for supercuspidal representations of SL(2,F). The argument involves the theory of types and the lattice model of the Weil representation.", "revisions": [ { "version": "v2", "updated": "2012-11-08T23:18:14.000Z" } ], "analyses": { "keywords": [ "supercuspidal representations", "theta correspondences", "quadratic base change", "p-adic field", "lattice model" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1101.4862M" } } }