{ "id": "math-ph/0301006", "version": "v1", "published": "2003-01-07T06:17:56.000Z", "updated": "2003-01-07T06:17:56.000Z", "title": "Structures Preserved by Exceptional Lie Algebras", "authors": [ "T. A. Larsson" ], "categories": [ "math-ph", "math.MP" ], "abstract": "For sp(n+2) and each exceptional Lie algebra a realization of depth 2 preserving the spaces spanned by a contact one-form and a bilinear form is given. For e_7 and e_6 a realization of depth 1 preserving a lightcone and the space spanned by a bilinear form is also presented. This makes the origin of the exceptions clear.", "revisions": [ { "version": "v1", "updated": "2003-01-07T06:17:56.000Z" } ], "analyses": { "keywords": [ "exceptional lie algebra", "structures", "bilinear form", "exceptions clear", "contact one-form" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.ph...1006L" } } }