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Re:Galois Theory by gowld on Thursday August 15, 2024 @01:23PM (#41258364)
No, it does not. The determinant tells you whether two bases have the same or different handedness, not which one is "left" or "right".
Re:Galois Theory by lanstin on Thursday August 15, 2024 @02:12PM (#41258842)
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
Re:Galois Theory by fredilo on Thursday August 15, 2024 @02:46PM (#41259149)
Formulated differently, you cannot determine left- and right-handedness but you can determine same-handedness.