maxWeylFilling -- the lex-largest Weyl-standard tableau of given shape

• Usage:

  maxWeylFilling(p, d)

• Inputs:
  • p, a list, a partition
  • d, an integer, the rank of the underlying module
• Outputs:
  • an instance of the type WeylFilling, the Weyl-standard filling of shape $p$ with entries in $\{0,\ldots,d-1\}$ which is lex-largest in the row-reversed order used to sort the ambient basis in weylModule

i1 : maxWeylFilling({3, 2}, 4)

     +-+-+-+
o1 = |2|2|3|
     |3|3| |
     +-+-+-+

o1 : WeylFilling

i2 : isWeylStandard oo