{ "id": "1510.08759", "version": "v1", "published": "2015-10-29T16:07:20.000Z", "updated": "2015-10-29T16:07:20.000Z", "title": "Duality in the Category of Andersen-Jantzen-Soergel", "authors": [ "Friederike Steglich" ], "comment": "28 pages, 3 figures", "categories": [ "math.RT", "math.CO" ], "abstract": "In the early 1990's Andersen, Jantzen and Soergel introduced a category in order to give a combinatorial model for certain representations of quantum groups at a root of unity and simultaneously of Lie algebras of semisimple algebraic groups in positive characteristic. We will describe the behaviour of duality in this category.", "revisions": [ { "version": "v1", "updated": "2015-10-29T16:07:20.000Z" } ], "analyses": { "keywords": [ "andersen-jantzen-soergel", "semisimple algebraic groups", "combinatorial model", "early 1990s andersen", "lie algebras" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }