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Simple Decompositions of the Exceptional Jordan Algebra |
Canad. Math. Bull. 50(2007), 469-473
Published:2007-09-01
Printed: Sep 2007
Printed: Sep 2007
- M. V. Tvalavadze
Abstract
This paper presents some
results on the simple exceptional Jordan algebra over an algebraically
closed field $\Phi$ of characteristic not $2$. Namely an example of
simple decomposition of $H(O_3)$ into the sum of two subalgebras
of the type $H(Q_3)$ is produced, and it is shown that this
decomposition is the only one possible in terms of simple
subalgebras.
| MSC Classifications: | 17C40 - Exceptional Jordan structures |