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Timeline for Volume of Gr(2,4)

Current License: CC BY-SA 3.0

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Apr 28, 2013 at 16:54 vote accept Alireza
Apr 28, 2013 at 14:02 history edited Liviu Nicolaescu CC BY-SA 3.0
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Apr 28, 2013 at 13:35 history edited Liviu Nicolaescu CC BY-SA 3.0
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Apr 27, 2013 at 17:52 comment added Liviu Nicolaescu Using the invariance it suffices to compute only the volume of $U(n)$, but you have to do that consistently. Here Weyl integration formula helps.
Apr 27, 2013 at 17:08 comment added Alireza Well I found out that I made a mistake in calculating the radius part and the correct result is $12\pi^4 r^8$. The method you follow leads to a formula in proposition 9.1.12 which is very similar to that of mine above for the complex case. But I derived it by following the methodology I explained and I want to make sure fast if it is true! Could you explain if there is a quick way to reach the result for the complex case out of your computation? Or I have no choice but to spend much time to calculate Haar measure and stuff?
Apr 27, 2013 at 15:12 history answered Liviu Nicolaescu CC BY-SA 3.0