SG::SgCharTable
--
computes the table of characters
SG::SgCharTable(n <,part1> <,part2>)
SG::SgCharTable(n <,index>)
n | - | any positive integer denoting the degree of a symmetric group |
part1, part2 | - | any lists denoting partitions |
The 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
.
>> 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
MuPAD Combinat, an open source algebraic combinatorics package