{ "id": "0904.0623", "version": "v2", "published": "2009-04-03T16:57:55.000Z", "updated": "2009-07-27T13:58:42.000Z", "title": "The second cohomology of simple SL_2-modules", "authors": [ "David I. Stewart" ], "comment": "10 pages; version to appear in Proc-AMS", "categories": [ "math.RT" ], "abstract": "Let $G$ be the simple algebraic group $SL_2$ defined over an algebraically closed field $K$ of characteristic $p>0$. In this paper, we find the second cohomology of all irreducible representations of $G$", "revisions": [ { "version": "v2", "updated": "2009-07-27T13:58:42.000Z" } ], "analyses": { "subjects": [ "20G05", "20G10" ], "keywords": [ "second cohomology", "simple algebraic group", "algebraically closed field", "characteristic" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0904.0623S" } } }