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3
votes
The stabilizer of a point in the connected Lorentz group
One may prove by direct computation that in order to stabilize $p$, your matrix $f$ must be a block matrix of the form:
$$ f = \begin{bmatrix}
1 & 0 & \vec{v}^T \\
0 & 1 & -\vec{v}^T \\
&& U
\end{bmat …