{ "id": "1111.2502", "version": "v1", "published": "2011-11-10T15:47:37.000Z", "updated": "2011-11-10T15:47:37.000Z", "title": "Idempotents for Birman-Murakami-Wenzl algebras and reflection equation", "authors": [ "A. P. Isaev", "A. I. Molev", "O. V. Ogievetsky" ], "comment": "20 pages", "categories": [ "math.RT" ], "abstract": "A complete system of pairwise orthogonal minimal idempotents for Birman-Murakami-Wenzl algebras is obtained by a consecutive evaluation of a rational function in several variables on sequences of quantum contents of up-down tableaux. A by-product of the construction is a one-parameter family of fusion procedures for Hecke algebras. Classical limits to two different fusion procedures for Brauer algebras are described.", "revisions": [ { "version": "v1", "updated": "2011-11-10T15:47:37.000Z" } ], "analyses": { "keywords": [ "birman-murakami-wenzl algebras", "reflection equation", "fusion procedures", "pairwise orthogonal minimal idempotents", "brauer algebras" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.2502I" } } }