- #1
kroni
- 80
- 10
Well, Look at the image.
If T is a generator so VTV* (with V unitary) is another basis of the representation too, i am totally agree because it satisfy the structure equation. Now, he say that we can find V that set Gij = tr(TiTj) diagonal BUT when i try, i have :
Gij = Tr(VTiV*VTjV*)
= Tr(VTiTjV*) because V is unitary
= Tr(TiTj) because Tr(AB) = Tr(BA)
So V as no effect and it can't diagonize it. I don't understand why it don't work ?
Thanks for all