CharacterTable _ Sequence -- retrieves an entry from the character table

Synopsis

• Operator: _

• Usage:

  charTable_(a,b)

• Inputs:
  • charTable, an instance of the type CharacterTable
  • pos, a sequence, the position (a,b) to be consulted. It can be given by either a number or a Partition
• Outputs:
  • an integer, the number in the position

Description

i1 : charTable = characterTable 5

o1 = | 1  1  1  1  1  1  1 |
     | -1 0  -1 1  0  2  4 |
     | 0  -1 1  -1 1  1  5 |
     | 1  0  0  0  -2 0  6 |
     | 0  1  -1 -1 1  -1 5 |
     | -1 0  1  1  0  -2 4 |
     | 1  -1 -1 1  1  -1 1 |

o1 : CharacterTable

i2 : a = new Partition from {3,1,1}; b = new Partition from {1,1,1,1,1}

o3 = Partition{1, 1, 1, 1, 1}

o3 : Partition

i4 : charTable_(0,0)

o4 = 1

i5 : charTable_(a,b)

o5 = 6

See also

• characterTable -- returns the character table of the symmetric group