{ "id": "0807.4684", "version": "v1", "published": "2008-07-29T15:21:16.000Z", "updated": "2008-07-29T15:21:16.000Z", "title": "The smooth representations of GL_2(O)", "authors": [ "Alexander Stasinski" ], "comment": "9 pages", "categories": [ "math.RT" ], "abstract": "We present some unpublished results of Kutzko together with results of Hill, giving a classification of the smooth (complex) representations of $\\mathrm{GL}_{2}(\\mathcal{O})$, where $\\mathcal{O}$ is the ring of integers in a local field with finite residue field.", "revisions": [ { "version": "v1", "updated": "2008-07-29T15:21:16.000Z" } ], "analyses": { "keywords": [ "smooth representations", "finite residue field", "local field", "classification" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.4684S" } } }