{ "id": "1008.1268", "version": "v1", "published": "2010-08-06T20:03:54.000Z", "updated": "2010-08-06T20:03:54.000Z", "title": "The discriminants associated to isotropy representations of symmetric spaces", "authors": [ "Claudio Gorodski" ], "categories": [ "math.RT" ], "abstract": "We consider a generalized discriminant associated to a symmetric space which generalizes the discriminant of real symmetric matrices, and note that it can be written as a sum of squares of real polynomials. A method to estimate the minimum number of squares required to represent the discrimininant is developed and applied in examples.", "revisions": [ { "version": "v1", "updated": "2010-08-06T20:03:54.000Z" } ], "analyses": { "subjects": [ "15A72", "17B10", "22E47" ], "keywords": [ "symmetric space", "isotropy representations", "discriminants", "real symmetric matrices", "minimum number" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1008.1268G" } } }