ETopLadder(H|e, mu)
The ladders in the diagram of a partition are the lines connecting
nodes of constant e--residue, having slope <e>-1 (see [JK]). A new
partition can be obtained from mu by sliding all nodes up to the
highest possible rungs on their ladders. ETopLadder(e, mu)
returns the partition obtained in this way; it is automatically
e--regular (this partition is denoted mu^R in [JK]).
gap> H:=Specht(4);; gap> ETopLadder(H,1,1,1,1,1,1,1,1,1,1); [ 4, 3, 3 ] gap> ETopLadder(6,1,1,1,1,1,1,1,1,1,1); [ 2, 2, 2, 2, 2 ]
This function requires the package ``specht'' (see RequirePackage).
GAP 3.4.4