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gowld
on Aug 15, 2024
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Galois Theory
No, it does not. The determinant tells you whether two bases have the same or different handedness, not which one is "left" or "right".
lanstin
on Aug 15, 2024
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It's 2 cosets, one is arbitrarily left handed and the other arbitrarily right handed. If you are in an orientable space :) if not, then there's no global concept of left or right. a
fredilo
on Aug 15, 2024
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Formulated differently, you cannot determine left- and right-handedness but you can determine same-handedness.
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