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

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

2010-11-02

arxiv.org/abs/1011.0603v1

Bull. Fac Edu. & Human Sci. Yamanashi Univ. 2(2001), 7-10

Mathematics

Differential Geometry

4pages, http://web.me.com/coolkai/YSTM/YSTM/YSTM.html

Scientific paper

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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