{ "id": "1208.5418", "version": "v1", "published": "2012-08-27T15:17:46.000Z", "updated": "2012-08-27T15:17:46.000Z", "title": "Cycles of linear and semilinear mappings", "authors": [ "Debora Duarte de Oliveira", "Vyacheslav Futorny", "Tatiana Klimchuk", "Dmitry Kovalenko", "Vladimir V. Sergeichuk" ], "comment": "18 pages", "journal": "Linear Algebra Appl. 438 (2013) 3442-3453", "doi": "10.1016/j.laa.2012.12.023", "categories": [ "math.RT" ], "abstract": "We give a canonical form of matrices of a cycle of linear or semilinear mapping V_1 --- V_2 --- ... --- V_t --- V_1 in which all V_i are complex vector spaces, each line is an arrow ---> or <---, and each arrow denotes a linear or semilinear mapping.", "revisions": [ { "version": "v1", "updated": "2012-08-27T15:17:46.000Z" } ], "analyses": { "subjects": [ "15A04", "15A21" ], "keywords": [ "semilinear mapping", "complex vector spaces", "arrow denotes", "canonical form" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.5418D" } } }