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Hm, strange. The above edit comment was for SU(2) (capital)
Just something elementary:
unless I am mixed up, the wedge square of the 4d irrep of $\mathrm{SU}(2)$ is the sum of the 3d irrep and the 3d trivial rep:
$\mathbf{4}\wedge \mathbf{4} \;\simeq\; 3 \cdot \mathbf{1} \;\oplus\; 1 \cdot \mathbf{3} \;\;\;\in\; \mathrm{RO}(\mathrm{Sp}(1))$(see Sandbox) What would be a classical fact/text to refer to for this?
Thanks for raising, I have now fixed this. Just a reminder that I may miss this kind of thing unless it is flagged in an obvious place for me to see it.
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