Coefficient(x, mu)
If x is a sum of Specht (resp. simple, or indecomposable) modules,
then Coefficient(x, mu)
returns the coefficient of
S
(mu) in x (resp. D
(mu), or P
(mu)).
gap> H:=Specht(3);; x:=H.S(H.P(7,3)); S(7,3)+S(7,2,1)+S(6,2,1^2)+S(5^2)+S(5,2^2,1)+S(4^2,1^2)+S(4,3^2)+S(4,3,2,1) gap> Coefficient(x,5,2,2,1); 1
This function requires the package ``specht'' (see RequirePackage).
GAP 3.4.4