Draw the weight diagram for the ((6,3)_{D}) multiplet of (S U(3)) and indicate the multiplicities of each

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Draw the weight diagram for the \((6,3)_{D}\) multiplet of \(S U(3)\) and indicate the multiplicities of each layer. Use this to calculate the number of states in the irrep/multiplet. Draw the corresponding Young diagram and use the factors over hooks rule to calculate the number of dimensions of the irrep/multiplet and verify that the two results agree.

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