#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: Travis Scrimshaw
Authors: Mike Zabrocki | Work issues:
Report Upstream: N/A | Commit:
Branch: | 3687f81143a7e5fb97be3cd1857d73c995f2a16b
public/combinat/zabrocki/ncsf_quasi_schur_basis/18447| Stopgaps:
Dependencies: #18415 |
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Comment (by zabrocki):
I am not entirely sure I understood your comment, but I think that I
implemented it by adding `to_symmetric_function_on_generators` and an
algebra morphism in `to_symmetric_function` in `MultiplicativeBases`.
One thing that I am a bit confused about that I would like you to check
carefully. I had to re-implement `to_symmetric_function` in the ribbon
basis. Why? It should be inherited from Bases, but for some reason if I
remove it, there is no method. Why just the ribbon basis? It works fine
in `dQS` or any of the other bases.
Also I am still trying to track down a slow-down in the immaculate basis
`to_symmetric_function`. They are implemented exactly the same way in
`02d585f` and the current branch and yet that basis (and only that one)
is slower to compute this map.
--
Ticket URL: <http://trac.sagemath.org/ticket/18447#comment:30>
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