86.2 CharRepresentationWords

CharRepresentationWords( rep , elts )

given a list rep of matrices corresponding to generators and a list elts of words in the generators it returns the list of traces of the corresponding representation on the elements in elts.

    gap> H := Hecke(CoxeterGroup( "F", 4 ));;
    gap> r := ChevieClassInfo( Group( H ) ).classtext;;
    gap> t := HeckeReflectionRepresentation( H );;
    gap> CharRepresentationWords( t, r );
    [ 4, -4, 0, 1, -1, 0, 1, -1, -2, 2, 0, 2, -2, -1, 1, 0, 2, -2, -1, 1, 
      0, 0, 2, -2, 0 ] 

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