Prove Eq. (5.3.41) for (S U(6): mathbf{6} otimes mathbf{6} otimes mathbf{6}=mathbf{5 6} oplus mathbf{7 0} oplus mathbf{7

Question:

Prove Eq. (5.3.41) for $S U(6): \mathbf{6} \otimes \mathbf{6} \otimes \mathbf{6}=\mathbf{5 6} \oplus \mathbf{7 0} \oplus \mathbf{7 0} \oplus \mathbf{2 0}$. Explain using Young diagrams why the $\mathbf{5 6}$ multiplet is symmetric, why the $\mathbf{7 0}$ multiplets have mixed symmetry and why the 20 is antisymmetric.

Fantastic news! We've Found the answer you've been seeking!