- #1
LAHLH
- 409
- 1
Hi,
I've read quite a few times now in group theory and QFT books that [tex] [X_i,Y_j]=i\epsilon_{ijk}Y_k[/tex] can be regarded as saying that [tex] \vec{Y} [/tex], the vector of boost generators transforms as a vector under rotations (where X are SO(3) generators).
I don't really understand why this implies this fact, perhaps some could enlighten me.
Thanks
I've read quite a few times now in group theory and QFT books that [tex] [X_i,Y_j]=i\epsilon_{ijk}Y_k[/tex] can be regarded as saying that [tex] \vec{Y} [/tex], the vector of boost generators transforms as a vector under rotations (where X are SO(3) generators).
I don't really understand why this implies this fact, perhaps some could enlighten me.
Thanks