{ "id": "math/0506193", "version": "v2", "published": "2005-06-10T10:41:00.000Z", "updated": "2008-07-02T13:54:29.000Z", "title": "Braid action on derived category of Nakayama algebras", "authors": [ "Intan Muchtadi-Alamsyah" ], "comment": "27 pages", "journal": "Communications in Algebra (2008) 36:7, 2544-2569", "doi": "10.1080/00927870802070165", "categories": [ "math.RT", "math.RA" ], "abstract": "We construct an action of a braid group associated to a complete graph on the derived category of a certain symmetric Nakayama algebra which is also a Brauer star algebra with no exceptional vertex. We connect this action with the affine braid group action on Brauer star algebras defined by Schaps and Zakay-Illouz. We show that for Brauer star algebras with no exceptional vertex, the action is faithful.", "revisions": [ { "version": "v2", "updated": "2008-07-02T13:54:29.000Z" } ], "analyses": { "subjects": [ "16D90", "16G20", "18E30", "20F36" ], "keywords": [ "derived category", "braid action", "affine braid group action", "exceptional vertex", "symmetric nakayama algebra" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......6193M" } } }