LowestPowerGenericDegrees( W )
returns a list holding the a-function for all irreducible characters of
the Coxeter group W, that is, for each character chi, the valuation
of the generic degree of chi (in the one-parameter Iwahori-Hecke
algebra Hecke(W,X(Rationals)) corresponding to W). The ordering of
the result corresponds to the ordering of the characters in
CharTable(W).
gap> LowestPowerGenericDegrees( CoxeterGroup( "D", 4 ) );
[ 6, 6, 7, 12, 3, 3, 6, 2, 2, 3, 1, 2, 0 ]
This function requires the package "chevie" (see RequirePackage).
GAP 3.4.4