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Lorentz Group
Linked via "spatial reflections"
The four components are related by these discrete operations:
$SO^+(1, 3)$: Identity component.
$\mathcal{P} SO^+(1, 3)$: Contains spatial reflections.
$\mathcal{T} SO^+(1, 3)$: Contains time reversals.
$\mathcal{PT} SO^+(1, 3)$: Contains the full discrete parity transformation.