71.61 Coefficient for Sums of Modules

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).

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