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nLab > Latest Changes: Lorentz group

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 14th 2016

    added a minimum to Lorentz group.

  2. Typo (3 -> d-1)

    Avi Levy

    diff, v14, current

    • CommentRowNumber3.
    • CommentAuthorgregprice
    • CommentTimeMay 15th 2023

    The section “Connected components” seems not quite right, or rather right only when d−1d - 1 is odd (as it is in classical relativity). When d−1d - 1 is even, point reflection in space PP lies within SO +(d−1,1)SO^+(d-1, 1), so can’t lead to a different connected component.

    One fix would be to use reflection in a hyperplane. I’m not sure if there’s a cleaner / more symmetrical fix.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2023

    Thanks for catching this. As a quick fix I have just edited to restrict dd to 3 (here). Of course, better would be to type out the correct general discussion…

    Either way this section needs more discussion and/or more references. Please feel invited to edit, if you have the energy.

    diff, v17, current

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