{ "id": "1907.11560", "version": "v1", "published": "2019-07-26T13:09:47.000Z", "updated": "2019-07-26T13:09:47.000Z", "title": "Quivers for SL(2) tilting modules", "authors": [ "Daniel Tubbenhauer", "Paul Wedrich" ], "comment": "35 pages, many figures, comments welcome", "categories": [ "math.RT", "math.QA" ], "abstract": "Using diagrammatic methods, we define a quiver algebra depending on a prime p and show that it is the algebra underlying the category of tilting modules for SL(2) in characteristic p. Along the way we obtain a presentation for morphisms between p-Jones-Wenzl projectors.", "revisions": [ { "version": "v1", "updated": "2019-07-26T13:09:47.000Z" } ], "analyses": { "keywords": [ "tilting modules", "diagrammatic methods", "quiver algebra", "p-jones-wenzl projectors" ], "note": { "typesetting": "TeX", "pages": 35, "language": "en", "license": "arXiv", "status": "editable" } } }