SG::SgCharTable --
computes the table of characters
Call(s)
SG::SgCharTable(n <,part1> <,part2>)
SG::SgCharTable(n <,index>)
Parametersn | - | any positive integer denoting the degree of a symmetric group |
part1, part2 | - | any lists denoting partitions |
IntroductionThe SG::SgCharTable gives the table of characters for the symmetric
group of order n. Let t be this matrix,
part1, part2 be two partitions of n, of index
i, j in the list of partitions
, then
SG::SgCharTable(n, index)t[i,j] is equal to the value of
the irreducible character of index part1 on the conjugacy
class indexed by part2.
Example 1>> muEC::SG::SgCharTable( 3 );
+- -+
| 1, 1, 1 |
| |
| -1, 0, 2 |
| |
| 1, -1, 1 |
+- -+
>> muEC::SG::SgCharTable( 3, index );
[[3], [2, 1], [1, 1, 1]]
>> muEC::SG::SgCharTable(3, [2,1], [1,1,1]);
2
Related FunctionsMuPAD Combinat, an open source algebraic combinatorics package