77.8 LowestPowerGenericDegrees

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).

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GAP 3.4.4
April 1997