Hi k-Schur fans,

I just pushed a first prototype for the new k-Schur function layout, where
they actually live in a subspace of the ring of symmetric functions.
Try the following with the patch kschur-fix-as.patch applied (this is based
on an old patch by Jason):

sage: Sym = SymmetricFunctions(QQ)
sage: ks = Sym.kschur(3,1)
sage: kh = Sym.khomogeneous(3)
sage: kh(ks[2,1])
h3[2, 1] - h3[3]
sage: ks(kh[2,1])
ks3[2, 1] + ks3[3]
sage: h = Sym.homogeneous()
sage: h[2]*ks[2]
h[2, 2]

sage: Sym = SymmetricFunctions(QQ['t'])
sage: ks = Sym.kschur(3)
sage: h = Sym.homogeneous()
sage: h[2]*ks[2]
h[2, 2]

Mike, does this make you happy?

Anne

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