Lorentz algebra
= Lorentz algebra
{c}
{title2=$\mathfrak{so}(1,3)$}
{wiki=Lorentz_group#The_Lie_algebra}
The Lorentz algebra has rotation generators $J_i$ and boost generators $K_i$ satisfying
$$
[J_i,J_j]=\epsilon_{ijk}J_k,\qquad
[J_i,K_j]=\epsilon_{ijk}K_k,\qquad
[K_i,K_j]=-\epsilon_{ijk}J_k.
$$