| Title | On compact realifications of exceptional simple Kantor triple systems |
| Authors | Daniel Mondoc |
| Alternative Location | http://www.ashdin.com/journ... |
| Publication | Journal of Generalized Lie Theory and Applications |
| Year | 2007 |
| Volume | 1 |
| Issue | 1 |
| Pages | 29 - 40 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Ashdin Publishing |
| Abstract English | Let A be the realification of the matrix algebra determined by Jordan algebra of hermitian<br> matrices of order three over a complex composition algebra. We define an involutive<br> automorphism on A with a certain action on the triple system obtained from A which give<br> models of simple compact Kantor triple systems. In addition, we give an explicit formula<br> for the canonical trace form and the classification for these triples and their corresponding<br> exceptional real simple Lie algebras. Moreover, we present all realifications of complex exceptional<br> simple Lie algebras as Kantor algebras for a compact simple Kantor triple system<br> defined on a structurable algebra of skew-dimension one. |
| Keywords | graded Lie algebras, structurable algebras, triple systems, |
| ISBN/ISSN/Other | ISSN: 1736-4337 (online) |
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