{ "id": "math/0201176", "version": "v1", "published": "2002-01-18T18:08:28.000Z", "updated": "2002-01-18T18:08:28.000Z", "title": "Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra", "authors": [ "Thomas J. Haines", "Alexandra Pettet" ], "comment": "To appear, J. of Algebra", "categories": [ "math.RT" ], "abstract": "We give explicit formulae for certain elements occurring in the Bernstein presentation of an affine Hecke algebra, in terms of the usual Iwahori- Matsumoto generators. We utilize certain minimal expressions for said elements and we give a sheaf-theoretic interpretation for the existence of these minimal expressions.", "revisions": [ { "version": "v1", "updated": "2002-01-18T18:08:28.000Z" } ], "analyses": { "subjects": [ "20C08", "14M15" ], "keywords": [ "affine hecke algebra", "iwahori-matsumoto presentations", "formulae relating", "minimal expressions", "explicit formulae" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......1176H" } } }