81 citations · 81 across the 4 of their papers we have counts for
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Orbit types of the compact Lie group E_7 in the complex Freudenthal vector space P^C
Takashi Miyasaka, Ichiro Yokota
Let J be the exceptional Jordan algebra over R and J^C its complexification. Then the simply connected compact exceptional Lie group F_4 acts on J and F_4 has three orbit types whi…
Constructive diagonalization of an element X of the Jordan algebra J(3,O^3) by the exceptional group F_4
Takashi Miyasaka, Ichiro Yokota
We know that any element of the exceptional Jordan algebra $\gJ$ is transformed to a diagonal form by the compact exceptional Lie group . However, its proof is used the me…
Spinor-generators of compact exceptional Lie groups
Takashi Miyasaka, Osamu Shukuzawa, Ichiro Yokota
We know that any element A of the group SO(3) can be represented as A = A1 A2 A1', where A1, A1' are elements of SO1(2)={A is an element of SO(3) | Ae1=e1}, and SO2(2)={A is an ele…
Exceptional Lie groups
Ichiro Yokota
We describe simply connected compact exceptional simple Lie groups in very elementary way. We first construct all simply connected compact exceptional Lie groups G concretely. Next…