David Joyner wrote:
> On Tue, May 12, 2009 at 6:43 PM, amps <arat...@gmail.com> wrote:
>> I see that there is a function to compute the character table of the
>> symmetric group, but is there one where you input two partitions and
>> it outputs the value of the character indexed by the first partition
>> evaluated at the second?  I have been searching for some time and
>> can't find the answer.
> 
> 
> I don't know either and would be interested as well.
> Do you know how to do this in GAP?

One way is to use symmetric function theory:

sage: s = SFASchur(QQ); p = SFAPower(QQ)
sage: s(p([2,2])).coefficient([3,1])
-1

This says that the value of the irreducible character indexed by the
partition (3,1) is -1 when evaluated on a conjugacy class of size (2,2).

Cheers,
Jason


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