51.7 UpdateMap

UpdateMap( char, paramap, indirected )

improves the paramap paramap using that indirected is the (possibly parametrized) indirection of the character char by paramap.

    gap> s:= CharTable( "S4(4).2" );; he:= CharTable( "He" );;
    gap> fus:= InitFusion( s, he );
    [ 1, 2, 2, [ 2, 3 ], 4, 4, [ 7, 8 ], [ 7, 8 ], 9, 9, 9, [ 10, 11 ], 
      [ 10, 11 ], 18, 18, 25, 25, [ 26, 27 ], [ 26, 27 ], 2, [ 6, 7 ],
      [ 6, 7 ], [ 6, 7, 8 ], 10, 10, 17, 17, 18, [ 19, 20 ], [ 19, 20 ] ]
    gap> Filtered( s.irreducibles, x -> x[1] = 50 );
    [ [ 50, 10, 10, 2, 5, 5, -2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1,
          10, 2, 2, 2, 1, 1, 0, 0, 0, -1, -1 ], 
      [ 50, 10, 10, 2, 5, 5, -2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, -1, -1,
          -10, -2, -2, -2, -1, -1, 0, 0, 0, 1, 1 ] ]
    gap> UpdateMap( he.irreducibles[2], fus, last[1] + s.irreducibles[1] );
    gap> fus;
    [ 1, 2, 2, 3, 4, 4, 8, 7, 9, 9, 9, 10, 10, 18, 18, 25, 25, 
      [ 26, 27 ], [ 26, 27 ], 2, [ 6, 7 ], [ 6, 7 ], [ 6, 7 ], 10, 10, 
      17, 17, 18, [ 19, 20 ], [ 19, 20 ] ]

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