Normal forms for the G_2-action on the real symmetric 7x7-matrices by conjugation
| dc.creator | Darpö, Erik | |
| dc.date | 2007-03-12 | |
| dc.date | 2007-06-08 | |
| dc.date.accessioned | 2026-07-07T08:08:51Z | |
| dc.date.available | 2026-07-07T08:08:51Z | |
| dc.description | The exceptional Lie group G_2 acts on the set of real symmetric 7x7-matrices by conjugation. We solve the normal form problem for this group action. In view of earlier results, this gives rise to a classification of all finite-dimensional real flexible division algebras. By a classification is meant a list of pairwise non-isomorphic algebras, exhausting all isomorphism classes. We also give a parametrisation of the set of all real symmetric matrices, based on eigenvalues. | |
| dc.description | 23 pages. Made typographical update in accordance with the final, published version | |
| dc.identifier | https://arxiv.org/abs/math/0703321 | |
| dc.identifier | http://arxiv.org/abs/math/0703321 | |
| dc.identifier | Journal of Algebra 312 (2007), 668-688 | |
| dc.identifier | doi:10.1016/j.jalgebra.2007.03.007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/131402 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17A35 | |
| dc.title | Normal forms for the G_2-action on the real symmetric 7x7-matrices by conjugation | |
| dc.type | text |