Prove that for (mathrm{SU}(2)) symmetry (mathbf{2} otimes mathbf{2} otimes mathbf{2}=mathbf{4} oplus mathbf{2} oplus mathbf{2}), while for (mathrm{SU}(3))

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Prove that for \(\mathrm{SU}(2)\) symmetry \(\mathbf{2} \otimes \mathbf{2} \otimes \mathbf{2}=\mathbf{4} \oplus \mathbf{2} \oplus \mathbf{2}\), while for \(\mathrm{SU}(3)\) symmetry

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What is the irrep content of \(\mathbf{8} \otimes \mathbf{8} \otimes \mathbf{8}\) in \(\mathrm{SU}(3)\) ?

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