{ "id": "1302.3882", "version": "v1", "published": "2013-02-15T20:17:33.000Z", "updated": "2013-02-15T20:17:33.000Z", "title": "Finite group algebras of nilpotent groups: a complete set of orthogonal primitive idempotents", "authors": [ "Inneke Van Gelder", "Gabriela Olteanu" ], "comment": "arXiv admin note: text overlap with arXiv:1302.3747", "journal": "Inneke Van Gelder, Gabriela Olteanu, Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents, Finite Fields and Their Applications, Volume 17, Issue 2, March 2011, Pages 157-165", "doi": "10.1016/j.ffa.2010.10.005", "categories": [ "math.RT", "math.GR", "math.RA" ], "abstract": "We provide an explicit construction for a complete set of orthogonal primitive idempotents of finite group algebras over nilpotent groups. Furthermore, we give a complete set of matrix units in each simple epimorphic image of a finite group algebra of a nilpotent group.", "revisions": [ { "version": "v1", "updated": "2013-02-15T20:17:33.000Z" } ], "analyses": { "keywords": [ "finite group algebra", "orthogonal primitive idempotents", "nilpotent group", "complete set", "simple epimorphic image" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1302.3882V" } } }