InnerProduct(x, y)
Here x and y are some modules of the Hecke algebra (ie. Specht
modules, PIMS, or simple modules). InnerProduct(x, y)
computes
the standard inner product of these elements. This is sometimes a
convenient way to compute decomposition numbers (for example).
gap> InnerProduct(H.S(2,2,2,1), H.P(4,3)); 1 gap> DecompositionNumber(H,[2,2,2,1],[4,3]); 1
This function requires the package ``specht'' (see RequirePackage).
GAP 3.4.4