HeckeCentralMonomials( HW )
Returns the scalars by which the central element T_{w_0}^2 acts on irreducible representations of HW.
gap> v := X( Cyclotomics );; v.name := "v";; gap> H := Hecke( CoxeterGroup( "H", 3 ), v ^ 2, v );; gap> HeckeCentralMonomials( H ); [ v^0, v^60, v^24, v^36, v^20, v^20, v^40, v^40, v^30, v^30 ]
This function requires the package "chevie" (see RequirePackage).
GAP 3.4.4