# TableauList -- the class of list of tableaux

## Description

This type represents a list of tableaux of the same size. They are represented as a MutableHashTable. A matrix in this hash table stores the filling of every tableau in the list. This representation is particularly useful when only the filling of the tableau is needed.

 i1 : p = new Partition from {2,1} o1 = Partition{2, 1} o1 : Partition i2 : y1 = youngTableau(p,{0,1,2}) o2 = | 0 1 | | 2 | o2 : YoungTableau i3 : y2 = youngTableau(p,{0,2,1}) o3 = | 0 2 | | 1 | o3 : YoungTableau i4 : y3 = youngTableau(p,{1,2,0}) o4 = | 1 2 | | 0 | o4 : YoungTableau i5 : t = tableauList p o5 = {} o5 : TableauList i6 : addTableau(t, y1) o6 = {| 0 1 |} | 2 | o6 : TableauList i7 : addTableau(t, y2) o7 = {| 0 1 |, | 0 2 |} | 2 | | 1 | o7 : TableauList i8 : addTableau(t, y3) o8 = {| 0 1 |, | 0 2 |, | 1 2 |} | 2 | | 1 | | 0 | o8 : TableauList i9 : peek t o9 = TableauList{length => 3 } matrix => | 0 1 2 | | 0 2 1 | | 1 2 0 | partition => Partition{2, 1}

## For the programmer

The object TableauList is a type, with ancestor classes MutableHashTable < HashTable < Thing.