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arXiv · 1011.0603

Constructive diagonalization of an element X of the Jordan algebra J(3,O^3) by the exceptional group F_4

Takashi Miyasaka·Ichiro Yokota
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Abstract

We know that any element $X$ of the exceptional Jordan algebra $\gJ$ is transformed to a diagonal form by the compact exceptional Lie group $F_4$. However, its proof is used the method which is reduced a contradiction. In this paper, we give a direct and constructive proof.

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Takashi Miyasaka, Ichiro Yokota. 2010-11-02. Constructive diagonalization of an element X of the Jordan algebra J(3,O^3) by the exceptional group F_4. https://arxiv.org/abs/1011.0603

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