If I decompose a general element $\Lambda$ of the proper Lorentz group as $$ \Lambda=R(\alpha,\beta,0)\,L_3(\xi)\,R(\phi,\theta,\psi)^{-1}, $$ where $R$ are rotation matrices and $L_3$ is a boost along the z-axis, can I obtain the invariant measure of the group by multiplying the invariant measures of rotations and boost? Thanks for your help.
2026-03-10 11:41:46.1773142906
Invariant measure of Lorentz Group
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