On Wed, Oct 27, 2010 at 10:42 PM, vasu <[email protected]> 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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