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Search: MSC category 17C40 ( Exceptional Jordan structures )

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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. Category:17C40