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Simple decompositions of the exceptional Jordan algebra

M. V. Tvalavadze
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Abstract

This paper presents some results on simple exceptional Jordan algebra over algebraically closed field $Φ$ with 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 possible in terms of the type of simple subalgebras.

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M. V. Tvalavadze. 2005-06-02. Simple decompositions of the exceptional Jordan algebra. https://arxiv.org/abs/math/0506051

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