1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
On the conjugacy of pure imaginary elements of quaternion algebras and Cayley algebras
Takashi Miyasaka
In the quatenions ($\H$, $\H'$, $\H^{C}$) and octonions ($\gC$, $\gC^\prime$, $\gC^C$), we show some results on the conjugacy of two pure imaginary non-zero elements with same norm…
Adjoint orbit types of compact exceptional Lie group G2 in its Lie algebra
Takashi Miyasaka
A Lie group naturally acts on its Lie algebra , called the adjoint action. In this paper, we determine the orbit types of the compact exceptional Lie group in its Li…
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…