77.9 HighestPowerGenericDegrees

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).

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GAP 3.4.4
April 1997