1. CMB 2007 (vol 50 pp. 469)
|Simple Decompositions of the Exceptional Jordan Algebra |
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.
2. CMB 2002 (vol 45 pp. 653)