{ "id": "1612.01469", "version": "v1", "published": "2016-12-05T18:45:25.000Z", "updated": "2016-12-05T18:45:25.000Z", "title": "On Extensions of supersingular representations of ${\\rm SL}_2(\\mathbb{Q}_p)$", "authors": [ "Santosh Nadimpalli" ], "comment": "9 pages. Preliminary version", "categories": [ "math.RT", "math.NT" ], "abstract": "In this note for $p>5$ we calculate the dimensions of ${\\rm Ext}^1_{{\\rm SL}_2(\\mathbb{Q}_p)}(\\tau, \\sigma)$ for any two irreducible supersingular representations $\\tau$ and $\\sigma$ of ${\\rm SL}_2(\\mathbb{Q}_p)$.", "revisions": [ { "version": "v1", "updated": "2016-12-05T18:45:25.000Z" } ], "analyses": { "keywords": [ "extensions", "irreducible supersingular representations" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }