Structurable algebras and groups of type E_6 and E_7
| dc.creator | Garibaldi, R. Skip | |
| dc.date | 1998-11-06 | |
| dc.date | 1999-12-14 | |
| dc.date.accessioned | 2026-07-07T13:17:15Z | |
| dc.date.available | 2026-07-07T13:17:15Z | |
| dc.description | It is well-known that every algebraic group of type F_4 is the automorphism group of an exceptional Jordan algebra, and that up to isogeny all groups of type ^1E_6 with trivial Tits algebras arise as the isometry groups of norm forms of such Jordan algebras. We describe a similar relationship between groups of type E_6 and groups of type E_7 and use it to give explicit descriptions of the homogeneous projective varieties associated to groups of type E_7 with trivial Tits algebras. The underlying algebraic structure for the relationship considered here are a sort of 56-dimensional structurable algebra which are forms of an algebra constructed from an exceptional Jordan algebra. | |
| dc.description | 35 pages, AMSLaTeX -- error in final section corrected | |
| dc.identifier | https://arxiv.org/abs/math/9811035 | |
| dc.identifier | http://arxiv.org/abs/math/9811035 | |
| dc.identifier | Journal of Algebra, vol. 236 (2001), 651-691 | |
| dc.identifier | doi:10.1006/jabr.1998.7584 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231053 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 17A30 (Primary) 11E72, 14L30, 17A40, 17B25, 17C30, 20G15 (Secondary) | |
| dc.title | Structurable algebras and groups of type E_6 and E_7 | |
| dc.type | text |