This method sorts the columns of every tableaux that appears as a term of the SpechtModuleElement. The corresponding sign of the sort is multiplied to the coefficient of the respective term. The method returns null but changes the SpechtModuleElement that was input as a parameter.
i1 : p = new Partition from {2,2,1}
o1 = Partition{2, 2, 1}
o1 : Partition
|
i2 : y1 = youngTableau(p,{0,1,4,3,2})
o2 = | 0 1 |
| 4 3 |
| 2 |
o2 : YoungTableau
|
i3 : y2 = youngTableau(p,{0,3,4,1,2})
o3 = | 0 3 |
| 4 1 |
| 2 |
o3 : YoungTableau
|
i4 : ele = spechtModuleElement(y1)-spechtModuleElement(y2)
o4 = | 0 1 | - | 0 3 |
| 4 3 | | 4 1 |
| 2 | | 2 |
o4 : SpechtModuleElement
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i5 : sortColumnsTableau ele |
i6 : ele
o6 = -2 | 0 1 |
| 2 3 |
| 4 |
o6 : SpechtModuleElement
|