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Forums
Physics
Special and General Relativity
Symmetry Group Freedom: Choosing How Groups Act on Coordinates
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[QUOTE="strangerep, post: 6055802, member: 70760"] One writes out the transformation between coordinates, and then derives generators from that. E.g., the coordinate transformations corresponding to rotations around the X axis are in terms of an angle ##\theta##. Then by taking a derivative wrt ##\theta## at ##\theta=0## one can derive differential operators which generate the finite transformations. (I can post a bit more detail if you need it). Try this exercise for both your cases. You'll find that the ordinary rotation group is very different from the group of reflections. [/QUOTE]
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Forums
Physics
Special and General Relativity
Symmetry Group Freedom: Choosing How Groups Act on Coordinates
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