77.6 LowestPowerFakeDegrees

LowestPowerFakeDegrees( W )

return a list holding the b-function for all irreducible characters of W, that is, for each character chi, the valuation of the fake degree of chi. The ordering of the result corresponds to the ordering of the characters in CharTable(W).

    gap> LowestPowerFakeDegrees( CoxeterGroup( "D", 4 ) );
    [ 6, 6, 7, 12, 4, 3, 6, 2, 2, 4, 1, 2, 0 ] 

This function requires the package "chevie" (see RequirePackage).

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GAP 3.4.4
April 1997