#4541: kschur functions don't properly convert to schur's
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Reporter: jbandlow | Owner: mhansen
Type: defect | Status: new
Priority: major | Milestone: sage-3.3
Component: combinatorics | Keywords: symmetric functions, kschur
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Example:
{{{
sage: ks3 = kSchurFunctions(QQ,3)
sage: s = SFASchur(ks3.base_ring())
sage: s(ks3(s([1,1,1,1])))
s[1, 1, 1, 1] + t^3*s[4]
}}}
In general, s(ks3(foo)) returns the_right_thing + bad_stuff where
bad_stuff is a sum of Schur functions with first part larger than 3.
Possibly, this is because the ks3->s conversion doesn't understand that
the kschur's do not form a basis for all symmetric functions; only for the
span of schur functions with first part <= k. I will look more at this
and see if I can't put up a patch, but assistance is very welcome!
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4541>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of
Reinventing the Wheel
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