Integration over SU(3)

[jinbaw]

How is integration over the group SU(3) defined?

 

[element4]

The keyword is: Haar Measure. See for example this http://gemma.ujf.cas.cz/~brauner/files/Haar_measure.pdf" [Broken].

Sorry for the short answer, I'm in a hurry.

 

[jinbaw]

I passed over a discussion which shows that integrating over SU(2) is similar to that over a sphere S^3. I want a similar discussion for integration over SU(3).
Can someone please specify a reference that gives a good explanation of SU(3) (like finding generators, etc..)?
Thanks

 

[torquil]

Perhaps you would be interested in this:

http://www.osti.gov/bridge/servlets/purl/534536-XMtlz7/webviewable/534536.pdf"

Among other things, it discusses Euler-angle parametrization of SU(3), and the definition of an invariant volume element. Take a look at section 4 in particular.