How is Integration over SU(3) Defined?

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    Integration Su(3)
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Discussion Overview

The discussion focuses on the definition of integration over the group SU(3), exploring concepts such as the Haar measure and comparisons to integration over SU(2). Participants seek references and explanations related to the structure and properties of SU(3).

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the definition of integration over SU(3).
  • Another participant mentions the Haar measure as a key concept and provides a link for further reading.
  • A different participant notes a similarity between integrating over SU(2) and a sphere S^3, requesting a similar discussion for SU(3).
  • One reply suggests a reference that discusses Euler-angle parametrization of SU(3) and the invariant volume element, specifically directing attention to a particular section of the document.

Areas of Agreement / Disagreement

Participants express interest in the topic and share resources, but no consensus or definitive answers are reached regarding the integration over SU(3).

Contextual Notes

Participants reference specific documents and concepts but do not resolve the complexities of the integration process or the definitions involved.

jinbaw
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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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