spechtModuleElement -- the constructor for the class SpechtModuleElement

• Usage:

  spechtModuleElement(p,v)

  spechtModuleElement(y,n)

  spechtModuleElement(y,m)

  spechtModueElement(y)

• Inputs:
  • y, an instance of the type YoungTableau, the label of the polytabloid
  • n, an integer, a number. If not specified then it is assumed to be a 1.
  • m, a rational number, a number. If not specified then it is assumed to be a 1.
  • p, an instance of the type Partition, A partition that index a module
  • v, a mutable hash table, A mutable hash table from a SpechtModuleElement
• Outputs:
  • an instance of the type SpechtModuleElement, an element of the form n*poly_y, where poly_y is the polytabloid labeled by the tableau y.

i1 : p = new Partition from {3,2,1}

o1 = Partition{3, 2, 1}

o1 : Partition

i2 : y = youngTableau(p,{2,0,3,4,5,1})

o2 = | 2 0 3 |
     | 4 5 |
     | 1 |

o2 : YoungTableau

i3 : spechtModuleElement(y,-2)

o3 = -2 | 2 0 3 |
        | 4 5 |
        | 1 |

o3 : SpechtModuleElement

i4 : spechtModuleElement(y)

o4 = | 2 0 3 |
     | 4 5 |
     | 1 |

o4 : SpechtModuleElement