{ "id": "1802.06909", "version": "v1", "published": "2018-02-19T23:33:37.000Z", "updated": "2018-02-19T23:33:37.000Z", "title": "Canonical $β$-extensions", "authors": [ "Andrea Dotto" ], "comment": "20 pages", "categories": [ "math.RT", "math.NT" ], "abstract": "We compare the level zero part of the type of a representation of GL(n) over a non-archimedean local field with the tame part of its Langlands parameter restricted to inertia. By normalizing this comparison, we construct canonical $\\beta$-extensions of maximal simple characters.", "revisions": [ { "version": "v1", "updated": "2018-02-19T23:33:37.000Z" } ], "analyses": { "keywords": [ "extensions", "level zero part", "maximal simple characters", "non-archimedean local field", "langlands parameter" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }