How is Integration over SU(3) Defined?

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Integration over the group SU(3) is defined using the Haar measure, which provides a way to integrate functions over the group while preserving invariance. The discussion highlights the similarity between integrating over SU(2) and SU(3), with a focus on the geometric aspects of SU(3) akin to those of a higher-dimensional sphere. References provided include a document detailing the Euler-angle parametrization of SU(3) and the invariant volume element, specifically pointing to section 4 for relevant explanations. Understanding the generators of SU(3) is also emphasized as a crucial aspect of this integration process. Overall, the integration over SU(3) involves complex structures that require careful mathematical treatment.
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How is integration over the group SU(3) defined?
 
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The keyword is: Haar Measure. See for example this http://gemma.ujf.cas.cz/~brauner/files/Haar_measure.pdf" .

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

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