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May 23 at 17:47 comment added Carlo Beenakker for the Euler angle parameterization, see here; I wrote out the Haar measure calculation, which I copied from here (appendix B); the computation of $Y$ is just tedious algebra (I used Mathematica).
May 23 at 17:41 comment added user528399 Thank you for your comment. Could you please provide some theory on this that I could read on?
May 23 at 17:14 history edited Carlo Beenakker CC BY-SA 4.0
metric tensor
May 23 at 16:41 history edited Carlo Beenakker CC BY-SA 4.0
Haar measure
May 23 at 16:01 vote accept CommunityBot
May 23 at 15:18 history answered Carlo Beenakker CC BY-SA 4.0