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  1. 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.