Simple decompositions of the exceptional Jordan algebra

Details Simple decompositions of the exceptional Jordan algebra Simple decompositions of the exceptional Jordan algebra

2005-06-02

arxiv.org/abs/math/0506051v1

Mathematics

Rings and Algebras

7 pages

Scientific paper

This paper presents some results on simple exceptional Jordan algebra over
algebraically closed field $\Phi$ 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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