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- Homework Statement
- Find commutation relations for Lorentz group

- Relevant Equations
- See below.

This is the defining generator of the Lorentz group

which is then divided into subgroups for rotations and boosts

And I then want to find the commutation relation [J_m, J_n] (and [J_m, K_n] ). I'm following this derivation, but am having a hard time to understand all the steps:

especially between here and the following step

Could someone explain to someone just getting familiar with the Levi-Cevita symbol and its Kronecker delta dependence, what exactly is going on from step to step here? I would be so grateful!!

which is then divided into subgroups for rotations and boosts

And I then want to find the commutation relation [J_m, J_n] (and [J_m, K_n] ). I'm following this derivation, but am having a hard time to understand all the steps:

especially between here and the following step

Could someone explain to someone just getting familiar with the Levi-Cevita symbol and its Kronecker delta dependence, what exactly is going on from step to step here? I would be so grateful!!