Question about SU(n) groups.

[BlackBaron]

Is there any general method to construct the generators of a SU(n) group?

[lethe]

Originally posted by BlackBaron
Is there any general method to construct the generators of a SU(n) group?

what do you mean "construct"? do you mean "find representation of"? if so, then the answer is "yes!": you can find all the reps of the compact semisimple Lie groups using the method of highest weights. any compact Lie group has a discrete set of representations, which of course is why quantum numbers are quantum, instead of continuous.

[mstrachan]

Can you tell me what mathematical model you would use to represent cooper pairing in superconductors? I.e. you need a model of spin, and you need a model of spin pairing. What physical model/lie group configuration can explain this? Does it need to be relativistic?

-Mark