By the hook-length formula, the dimension of an irreducible representation is divided by the product of the hook lengths of all boxes in the diagram of the representation::formula_1The figure on the right shows hook-lengths for all boxes in the diagram of the partition 10 = 5 + 4 + 1.
By the hook-length formula, the dimension of an irreducible representation is divided by the product of the hook lengths of all boxes in the diagram of the representation::formula_1The figure on the right shows hook-lengths for all boxes in the diagram of the partition 10 = 5 + 4 + 1.