{ "id": "1002.0396", "version": "v1", "published": "2010-02-02T05:44:21.000Z", "updated": "2010-02-02T05:44:21.000Z", "title": "Partition Algebra, its Characterization and Representations", "authors": [ "Masashi Kosuda" ], "comment": "30 pages, 21 figures", "categories": [ "math.RT" ], "abstract": "In this note we give representations for the partition algebra A_3(Q) in Young's seminormal form. For this purpose, we also give characterizations of A_n(Q) and$A_{n-1/2}(Q).", "revisions": [ { "version": "v1", "updated": "2010-02-02T05:44:21.000Z" } ], "analyses": { "subjects": [ "20C30", "16S50", "16G30" ], "keywords": [ "partition algebra", "characterization", "representations" ], "note": { "typesetting": "TeX", "pages": 30, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1002.0396K" } } }