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Calculate the Clebsch-Gordon coefficient for the SP(3,R) by SU(3)

  1. Aug 25, 2013 #1
    Dear Everyone,

    I have a problem to be solved now. how to calculate the symplectic group SP(3,R) non-compact induced by the SU(3) group? Any reference provided will be appreciated.
     
    Last edited by a moderator: Aug 25, 2013
  2. jcsd
  3. Aug 25, 2013 #2

    Bill_K

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    It's unclear to me what you mean by SP(3, R), since the symplectic group exists only in an even number of dimensions.
     
  4. Aug 25, 2013 #3
    According to my experience, I know it exists only in an even number of dimensions. But indeed some people published some works in SP(3,R) group in nuclear physics. I am so confused. e.g.

    Noncompact Lie Groups and Some of Their Applications
    NATO ASI Series Volume 429, 1994, pp 285-300
    Applications of Sp(3,R) in Nuclear Physics
     
  5. Aug 25, 2013 #4

    Bill_K

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    Ok, I see. this reference by Bohm, Ne'eman and Barut talks a bit about the use of SP(3, R) in nuclear physics. And this reference starting on p.28 further describes the group itself.
     
    Last edited: Aug 25, 2013
  6. Aug 25, 2013 #5
    If possible I might discuss sth with you deeply about this problem. This year is my sabbatical year so I want to solve this problem.
     
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