For instance, for the partition (5,4,1) we get as dimension of the corresponding irreducible representation of (traversing the boxes by rows)::formula_4===Restricted representations===A representation of the symmetric group on elements, is also a representation of the symmetric group on elements, .
For instance, for the partition (5,4,1) we get as dimension of the corresponding irreducible representation of (traversing the boxes by rows)::formula_4Представление для симметрической группы на элементах, is also a representation of the symmetric group on elements, .