On Wed, May 13, 2009 at 12:43 AM, 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 posted a patch about a month ago that constructs irreducible matrix
representations of the symmetric group.
http://trac.sagemath.org/sage_trac/ticket/5878
So you could also do it with that functionality (once the patch is
reviewed!). This is not the fastest way to do what you want, though,
since it computes the entire matrix, and you're interested only in its
trace. I think that it would not be too hard to adapted the code to
return only the trace without computing the entire matrix.
Take care,
Franco
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