77.5 FakeDegree

FakeDegree( W, phi, q )

returns the fake degree of the character labelled by phi of the Coxeter group W as a reflection group on the vector space V on which it acts, evaluated at q. The label phi should be the parameter given as a Operations and functions for Coxeter groups).

    gap> q := X( Rationals );; q.name := "q";;
    gap> FakeDegree( CoxeterGroup( "A", 2 ), [ [ 2, 1 ] ], q );
    q^2 + q 

This function requires the package "chevie" (see RequirePackage).

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