{ "id": "0712.1892", "version": "v2", "published": "2007-12-12T10:39:28.000Z", "updated": "2007-12-13T12:41:38.000Z", "title": "Determinants of finite-dimensional algebras", "authors": [ "Matthieu Romagny" ], "comment": "14 pages", "categories": [ "math.AG", "math.RA", "math.RT" ], "abstract": "To each associative unitary finite-dimensional algebra over a normal base, we associative a canonical multiplicative function called its determinant. We give various properties of this construction, as well as applications to the topology of the moduli stack of n-dimensional algebras.", "revisions": [ { "version": "v2", "updated": "2007-12-13T12:41:38.000Z" } ], "analyses": { "subjects": [ "16G10", "14D20" ], "keywords": [ "determinant", "associative unitary finite-dimensional algebra", "n-dimensional algebras", "moduli stack", "normal base" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0712.1892R" } } }