{ "id": "1606.08456", "version": "v1", "published": "2016-06-27T20:02:56.000Z", "updated": "2016-06-27T20:02:56.000Z", "title": "Proof of the Broué-Malle-Rouquier conjecture in characteristic zero (after I. Losev and I. Marin - G. Pfeiffer)", "authors": [ "Pavel Etingof" ], "comment": "5 pages, latex", "categories": [ "math.RT" ], "abstract": "In 1998 Brou\\'e, Malle and Rouquier conjectured that the Hecke algebra of a finite complex reflection group W is a free module over the algebra of parameters of rank |W|. We give an exposition of a proof of this conjecture in characteristic zero (and sufficiently large positive characteristic), due to I. Losev and I. Marin - G. Pfeiffer.", "revisions": [ { "version": "v1", "updated": "2016-06-27T20:02:56.000Z" } ], "analyses": { "keywords": [ "characteristic zero", "broué-malle-rouquier conjecture", "finite complex reflection group", "hecke algebra", "free module" ], "note": { "typesetting": "LaTeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }