be this matrix, part1, part2 be two partitions of n, of index 
, 
in the list of partitions muEC::SG::SgCharTable(n, index), then 
is equal to the value of the irreducible character of index part1 on the conjugacy class indexed by part2. muEC::SG::SgCharTable – the character table
computes the table of characters
Calls:
muEC::SG::SgCharTable(n, <part1>, <part2>)
muEC::SG::SgCharTable(n, <index>)
Parameters:
|
n: |
any positive integer denoting the degree of a symmetric group |
|
part1, part2: |
any lists denoting partitions |
Options:
|
index: |
return the index of the table in their order |
Related Functions:
Details:
The muEC::SG::SgCharTable gives the table of characters for the symmetric group of order n. Let be this matrix, part1, part2 be two partitions of n, of index , in the list of partitions muEC::SG::SgCharTable(n, index), then is equal to the value of the irreducible character of index part1 on the conjugacy class indexed by part2.
muEC::SG::SgCharTable( 3 );
muEC::SG::SgCharTable( 3, index );
muEC::SG::SgCharTable(3, [2,1], [1,1,1]);
