71.7 DecompositionNumber

DecompositionNumber(H, mu, nu)
DecompositionNumber(d, mu, nu)

This function attempts to calculate the decomposition multiplicity of D(nu) in S(mu) (equivalently, the multiplicity of S(mu) in P(nu)). If P(nu) is known, we just look up the answer; if not DecompositionNumber tries to calculate the answer using ``row and column removal'' (see [J,Theorem~6.18]).

gap> H:=Specht(6);;
gap> DecompositionNumber(H,[6,4,2],[6,6]);  
0

This function requires the package ``specht'' (see RequirePackage).

Previous Up Top Next
Index

GAP 3.4.4
April 1997