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Conformal group: Revision history


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  • curprev 17:2317:23, 4 September 202274.66.72.133 talk 10,799 bytes −8 Previous user reversing the previous edit. I was confused on the definition of the orthogonal group. undo Tag: Manual revert
  • curprev 17:1017:10, 4 September 202274.66.72.133 talk 10,807 bytes +8 I changed "orthogonal group" to "special orthogonal group". Because consider the matrix [[1 0] [0 2]] This is clearly an orthogonal matrix, but it's not a conformal transformation. If you take the canonical quadratic form corresponding to length-squared, the two basis vectors are scaled by different factors. And this results, for example, in the vector [1 1], to be stretched in y-direction, changing its angle with respect to both-axis. undo Tag: Reverted

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