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

Takashi Miyasaka, Ichiro Yokota
2010 arXiv   pre-print
We know that any element X of the exceptional Jordan algebra 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.
arXiv:1011.0603v1 fatcat:tytloonlbng5tabohcld5wvzji