{ "id": "0807.2881", "version": "v1", "published": "2008-07-18T19:44:38.000Z", "updated": "2008-07-18T19:44:38.000Z", "title": "Generalized Long-Moody representations of braid groups", "authors": [ "Stephen Bigelow", "Jianjun Paul Tian" ], "comment": "8 pages, no figures", "categories": [ "math.GT" ], "abstract": "Long and Moody gave a method of constructing representations of the braid group B_n. We discuss some ways to generalize their construction. One of these gives representations of subgroups of B_n, including the Gassner representation of the pure braid group as a special case. Another gives representations of the Hecke algebra.", "revisions": [ { "version": "v1", "updated": "2008-07-18T19:44:38.000Z" } ], "analyses": { "subjects": [ "20F36", "20C15", "57M27" ], "keywords": [ "generalized long-moody representations", "pure braid group", "gassner representation", "moody gave", "special case" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008arXiv0807.2881B" } } }