standardTableaux -- list all standard tableaux of a certain shape with bounded labels

Synopsis

• Usage:

  standardTableaux(dim, mu)

• Inputs:
  • dim, an integer, number of labels to be used
  • mu, a list, a partition which gives the shape
• Outputs:
  • a list, list of all standard tableaux of shape mu with labels 0,...,dim-1

Description

i1 : standardTableaux(3, {2,2}) -- lists all standard tableaux on the 2x2 square with entries 0,1,2

o1 = {{{0, 0}, {1, 1}}, {{0, 0}, {1, 2}}, {{0, 0}, {2, 2}}, {{0, 1}, {1, 2}},
     ------------------------------------------------------------------------
     {{0, 1}, {2, 2}}, {{1, 1}, {2, 2}}}

o1 : List

See also

• schurRank -- computes the dimension of the irreducible GL(QQ^n) representation associated to a partition