# standardTableaux(Partition) -- the list of standard tableaux of shape p

## Description

The standard tableaux of a given partition $\lambda$ are tableaux of shape p. Such that they are both row and column increasing. This set of tableaux are very important because they are in bijection with the basis of the Specht module $S^\lambda$.

The method calculates this tableaux recursively filling the cells of the Ferrer diagram and checking if the rows and columns are still increasing.

 i1 : p = new Partition from {3,2} o1 = Partition{3, 2} o1 : Partition i2 : standardTableaux p o2 = {| 0 1 2 |, | 0 1 3 |, | 0 1 4 |, | 0 2 3 |, | 0 2 4 |} | 3 4 | | 2 4 | | 2 3 | | 1 4 | | 1 3 | o2 : TableauList