SimpleDimension(d)
SimpleDimension(H, n)
SimpleDimension(H|d, mu)
In the first two forms, SimpleDimension
prints the dimensions of all
of the simple modules specified by d or for the Hecke algebra
'H'(Sym_n) respectively. If a partition mu is supplied, as in
the last form, then the dimension of the simple module D
(mu) is
returned. At present the function is not implemented for the simple
modules of the q--Schur algebras.
gap> H:=Specht(6);; gap> SimpleDimension(H,11,3); 272 gap> d:=DecompositionMatrix(H,5);; SimpleDimension(d,3,2); 5 gap> SimpleDimension(d); 5 : 1 4,1 : 4 3,2 : 5 3,1^2 : 6 2^2,1 : 5 2,1^3 : 4 1^5 : 1
This function requires the package ``specht'' (see RequirePackage).
GAP 3.4.4