Induced( subtbl, tbl, chars )
Induced( subtbl, tbl, chars, specification )
Induced( subtbl, tbl, chars, fusionmap )
returns a set of characters induced from subtbl to tbl; the elements
of the list chars will be induced. The subgroup fusion map can either
be entered directly as fusionmap, or it must be stored on the table
subtbl and must have destination tbl; in the latter case the value of
the specification field may be specified by specification (see
GetFusionMap). If no such fusion is stored, false is returned.
More about Maps and Parametrized Maps); any value that is not uniquely determined in an induced character is set to an unknown (see Unknown).
gap> Induced( a5, s5, a5.irreducibles );
[ [ 2, 2, 2, 2, 0, 0, 0 ], [ 6, -2, 0, 1, 0, 0, 0 ],
[ 6, -2, 0, 1, 0, 0, 0 ], [ 8, 0, 2, -2, 0, 0, 0 ],
[ 10, 2, -2, 0, 0, 0, 0 ] ]
GAP 3.4.4