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CharacterTable _ Sequence = Thing -- modifies an entry from the character table

Synopsis

Operator: _
Usage:

charTable_(a,b)=e
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
- e, a thing, the number to be put in the position
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)=-100

o4 = -100

i5 : charTable_(a,b)=100

o5 = 100

i6 : charTable

o6 = | -100 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  100 |
     | 0    1  -1 -1 1  -1 5   |
     | -1   0  1  1  0  -2 4   |
     | 1    -1 -1 1  1  -1 1   |

o6 : CharacterTable

See also

characterTable -- returns the character table of the symmetric group

Ways to use this method:

CharacterTable _ Sequence = Thing -- modifies an entry from the character table