Use the highest-weight algorithm to show that (mathbf{2} otimes mathbf{2} otimes mathbf{2}=mathbf{4} oplus mathbf{2} oplus mathbf{2}), for

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Use the highest-weight algorithm to show that \(\mathbf{2} \otimes \mathbf{2} \otimes \mathbf{2}=\mathbf{4} \oplus \mathbf{2} \oplus \mathbf{2}\), for the product of three fundamental \(\mathrm{SU}(2)\) representations.

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