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…