{ "id": "1205.3345", "version": "v1", "published": "2012-05-15T12:33:10.000Z", "updated": "2012-05-15T12:33:10.000Z", "title": "Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero", "authors": [ "C. Bowman", "A. G. Cox", "M. De Visscher" ], "comment": "20 pages, 12 figures", "categories": [ "math.RT" ], "abstract": "We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebras. In particular, we determine the block structure and decomposition numbers in characteristic zero.", "revisions": [ { "version": "v1", "updated": "2012-05-15T12:33:10.000Z" } ], "analyses": { "subjects": [ "20C30" ], "keywords": [ "cyclotomic brauer algebra", "characteristic zero", "decomposition numbers", "idempotent subalgebras", "representation theory" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.3345B" } } }