EResidueDiagram(H|e, mu)
EResidueDiagram(x)
The e--residue of the (i,j)--th node in the diagram of a partition
mu is (j-i)bmod <e>. EResidueDiagram(e, mu)
prints
the diagram of the partition mu replacing each node with its
e-residue.
If x is a module then EResidueDiagram(x)
prints the e--residue
diagrams of all of the e--regular partitions appearing in x (such
diagrams are useful when trying to decide how to restrict and induce
modules and also in applying results such as the ``Scattering
theorem'' of [JM1]). It is not necessary to supply the integer e
in this case because x ``knows'' the value of e.
gap> H:=Specht(2);; EResidueDiagram(H.S(H.P(7,5))); [ 7, 5 ] 0 1 0 1 0 1 0 1 0 1 0 1 [ 6, 5, 1 ] 0 1 0 1 0 1 1 0 1 0 1 0 [ 5, 4, 2, 1 ] 0 1 0 1 0 1 0 1 0 0 1 1 # There are 3 2-regular partitions.
This function requires the package ``specht'' (see RequirePackage).
GAP 3.4.4