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

[dongsh2]

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.

 

[Bill_K]

It's unclear to me what you mean by SP(3, R), since the symplectic group exists only in an even number of dimensions.

 

[dongsh2]

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

 

[Bill_K]

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.

 

[dongsh2]

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.