{ "id": "1202.0888", "version": "v1", "published": "2012-02-04T10:29:42.000Z", "updated": "2012-02-04T10:29:42.000Z", "title": "Asymptotic freeness of Jucys-Murphy elements", "authors": [ "Lech Jankowski" ], "comment": "26 pages, 4 figures", "categories": [ "math.RT" ], "abstract": "We explain the appearance of free convolution of Kerov transition measures in the outer product of representations of S_n by showing that some elements of the group algebra are asymptotically free.", "revisions": [ { "version": "v1", "updated": "2012-02-04T10:29:42.000Z" } ], "analyses": { "keywords": [ "jucys-murphy elements", "asymptotic freeness", "kerov transition measures", "outer product", "free convolution" ], "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.0888J" } } }