71.53 Dominates

Dominates(mu, nu)

The dominance ordering is an important partial order in the representation theory of Hecke algebra because d_{munu}=0 unless nu dominates mu. Dominates(mu, nu) returns true if either mu=nu or for all i ge 1, sum_{j=1}^imu_j ge sum_{j=1}^inu_j, and false otherwise.

gap> Dominates([5,4],[4,4,1]);
true

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

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