HighestPowerGenericDegrees( W )
returns a list holding the A-function for all irreducible characters of
the Coxeter group W, that is, for each character chi, the degree 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> HighestPowerGenericDegrees( CoxeterGroup( "D", 4 ) ); [ 10, 10, 11, 12, 9, 9, 10, 6, 6, 9, 5, 6, 0 ]
This function requires the package "chevie" (see RequirePackage).
GAP 3.4.4