{ "id": "math/0106185", "version": "v4", "published": "2001-06-22T09:09:27.000Z", "updated": "2002-11-10T22:11:23.000Z", "title": "The representation type of Hecke algebras of type B", "authors": [ "Susumu Ariki", "Andrew Mathas" ], "comment": "19 pages. LaTeX2e. Requires pstricks and uses mathrsfs fonts. FINAL version", "categories": [ "math.RT", "math.QA" ], "abstract": "This paper determines the representation type of the Iwahori-Hecke algebras of type B when $q\\ne\\pm1$. In particular, we show that a single parameter non-semisimple Iwahori-Hecke algebra of type B has finite representation type if and only if q is a simple root of the Poincar\\'e polynomial, confirming a conjecture of Uno's.", "revisions": [ { "version": "v4", "updated": "2002-11-10T22:11:23.000Z" } ], "analyses": { "subjects": [ "20C08", "16G60" ], "keywords": [ "hecke algebras", "single parameter non-semisimple iwahori-hecke algebra", "finite representation type", "poincare polynomial", "paper determines" ], "note": { "typesetting": "LaTeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001math......6185A" } } }