#18447: Implement dual-quasi-Schur basis in NCSF
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Reporter: zabrocki | Owner:
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-6.7
Component: combinatorics | Resolution:
Keywords: ncsf, qsym, | Merged in:
quasiSchur, quasisymmetric | Reviewers:
Authors: Mike Zabrocki | Work issues:
Report Upstream: N/A | Commit:
Branch: | 9149e602a1726af2294629879a878704e0b2ae78
public/combinat/zabrocki/ncsf_quasi_schur_basis/18447| Stopgaps:
Dependencies: #18415 |
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Changes (by {'newvalue': u'Mike Zabrocki', 'oldvalue': ''}):
* status: new => needs_review
* keywords: ncsf, qsym, quasiSchur => ncsf, qsym, quasiSchur,
quasisymmetric
* author: => Mike Zabrocki
Old description:
> One of the TODOs that remains in the documentation for ncsf_qsym is to
> implement a short list of bases from the literature. One of those bases
> is the dual basis to the quasi-Schur basis of QSym. We should be able to
> use the transition coefficients that are implemented in qsym.py to
> compute the dual quasi-Schur basis. This may mean factoring out the
> methods from qsym.py to combinatorics.py or perhaps just accessing those
> methods where they are.
New description:
One of the TODOs that remains in the documentation for ncsf_qsym is to
implement a short list of bases from the literature. One of those bases
is the dual basis to the quasi-Schur basis of QSym. We should be able to
use the transition coefficients that are implemented in qsym.py to compute
the dual quasi-Schur basis. This may mean factoring out the methods from
qsym.py to combinatorics.py or perhaps just accessing those methods where
they are.
The quasi-Schur basis will be realized through the monomial basis (instead
of the fundamental basis) because there are more efficient ways to compute
the change of basis coefficients than were in the original implementation.
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Ticket URL: <http://trac.sagemath.org/ticket/18447#comment:19>
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