Thanks a bunch Mike!
That's neat. I have been using Sage a lot in my research on Kronecker
products, and the way things go I was expecting something of the sort
"s[lambda].skew([b])" vaguely. But the syntax you wrote is way nicer.
I'll be giving a talk on Sage and Symmetric Functions (specifically
focussing on whatever I've used it for) and there should be a lot more
questions coming up!
Thanks again
On Oct 27, 10:54 pm, Mike Hansen <mhan...@gmail.com> wrote:
> On Wed, Oct 27, 2010 at 10:42 PM, vasu <tewari.v...@gmail.com> wrote:
> > Hi all
> > I have tried searching all over the combinatorics sections of the
> > sagemath wiki, but I could not find if there is an implementation of
> > the skew schur functions. More specifically, here is what I am looking
> > for:
> > given partitions 'lambda' and 'mu', and 's' being the schur basis,
> > what is s_{lambda\mu}
> > where lambda\mu is the skew tableau.
>
> sage: lmbda = Partition([3,2,1])
> sage: mu = Partition([1])
> sage: s = SymmetricFunctions(QQ).s(); s
> Symmetric Function Algebra over Rational Field, Schur symmetric
> functions as basis
> sage: s(lmbda/mu)
> s[2, 2, 1] + s[3, 1, 1] + s[3, 2]
>
> sage: s([[3,2,1],[1]])
> s[2, 2, 1] + s[3, 1, 1] + s[3, 2]
>
> --Mike
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