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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

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# Boost generator transforms as vector under rotations

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