randomStandardTableau -- get a random standard Young Tableau

• Usage:

  randomStandardTableau(lam,mu,N)

• Inputs:
  • lam, an instance of the type Partition, the outer shape, $\lambda$, of T.
  • mu, an instance of the type Partition, the inner shape, $\mu$, of T.
• Outputs:
  • T, an instance of the type YoungTableau, a random standard Young tableau of shape $\lambda$.

i1 : lam = new Partition from {5,4,3,3,1}

o1 = Partition{5, 4, 3, 3, 1}

o1 : Partition

i2 : randomStandardTableau lam

     ┌────┬────┬────┬────┬────┐
o2 = │ 1  │ 2  │ 5  │ 11 │ 15 │
     ├────┼────┼────┼────┼────┘
     │ 3  │ 4  │ 6  │ 13 │     
     ├────┼────┼────┼────┘     
     │ 7  │ 8  │ 9  │          
     ├────┼────┼────┤          
     │ 10 │ 12 │ 14 │          
     ├────┼────┴────┘          
     │ 16 │                    
     └────┘                    

o2 : YoungTableau