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# Simple Decompositions of the Exceptional Jordan Algebra

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Published:2007-09-01
Printed: Sep 2007
• M. V. Tvalavadze
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## 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

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