76.12 CoxeterWords

CoxeterWords( W )

returns the list of all elements in the Coxeter group W. The ordering is the same as that given by concatenating the lists of elements of length 0,1,ldots obtained by the function CoxeterElementsLength.

    gap> CoxeterWords( CoxeterGroup( "G", 2 ) );
    [ [  ], [ 2 ], [ 1 ], [ 2, 1 ], [ 1, 2 ], [ 2, 1, 2 ], [ 1, 2, 1 ], 
      [ 2, 1, 2, 1 ], [ 1, 2, 1, 2 ], [ 2, 1, 2, 1, 2 ], 
      [ 1, 2, 1, 2, 1 ], [ 1, 2, 1, 2, 1, 2 ] ] 

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

Previous Up Top Next
Index

GAP 3.4.4
April 1997