youngDiagram -- a net of the Young diagram

• Usage:

  youngDiagram(lam, mu)

  youngDiagram T

• Inputs:
  • lam, an instance of the type Partition, the outer shape $\lambda$.
  • mu, an instance of the type Partition, the inner shape $\mu$. If not given, if is assumed to be the $0$ partition.
  • T, an instance of the type SkewTableau, a skew tableau.
• Outputs:
  • n, a net, a representation of the Young diagram of shape $\lambda/\mu$.

i1 : T = skewTableau(new Partition from {4,3,1}, new Partition from {2,1}, {1,2,3,4,5})

             ┌───┬───┐
o1 =         │ 1 │ 2 │
         ┌───┼───┼───┘
         │ 3 │ 4 │    
     ┌───┼───┴───┘    
     │ 5 │            
     └───┘            

o1 : SkewTableau

i2 : youngDiagram T

             ┌───┬───┐
o2 =         │   │   │
         ┌───┼───┼───┘
         │   │   │    
     ┌───┼───┴───┘    
     │   │            
     └───┘