{ "id": "1810.13370", "version": "v1", "published": "2018-10-31T16:06:47.000Z", "updated": "2018-10-31T16:06:47.000Z", "title": "The BMM symmetrising trace conjecture for the exceptional 2-reflection groups of rank 2", "authors": [ "Christina Boura", "Eirini Chavli", "Maria Chlouveraki" ], "comment": "17 pages", "categories": [ "math.RT" ], "abstract": "We prove the symmetrising trace conjecture of Brou\\'e, Malle and Michel for the generic Hecke algebra associated to the exceptional irreducible complex reflection group $G_{13}$. Our result completes the proof of the conjecture for the exceptional 2-reflection groups of rank 2.", "revisions": [ { "version": "v1", "updated": "2018-10-31T16:06:47.000Z" } ], "analyses": { "subjects": [ "20C08", "20C40" ], "keywords": [ "bmm symmetrising trace conjecture", "exceptional irreducible complex reflection group", "generic hecke algebra" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }