{ "id": "math/0111140", "version": "v2", "published": "2001-11-12T21:33:09.000Z", "updated": "2002-02-13T04:48:54.000Z", "title": "Equating decomposition numbers for different primes", "authors": [ "Gordon James", "Andrew Mathas" ], "comment": "13 pages. LaTeX2e + pstricks", "categories": [ "math.RT", "math.GR", "math.QA" ], "abstract": "This paper shows that certain decomposition numbers for the Hecke algebras and q-Schur algebras at different roots of unity in characteristic zero are equal. To prove our results we first establish the corresponding theorem for the canonical basis of the level one Fock space and then apply deep results of Ariki and Varagnolo and Vasserot.", "revisions": [ { "version": "v2", "updated": "2002-02-13T04:48:54.000Z" } ], "analyses": { "subjects": [ "20C08", "20C30", "33D80" ], "keywords": [ "equating decomposition numbers", "q-schur algebras", "characteristic zero", "hecke algebras", "fock space" ], "note": { "typesetting": "LaTeX", "pages": 13, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math.....11140J" } } }