#15150: Implement NCSym
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.12
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #15143 | Stopgaps:
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Comment (by zabrocki):
OK. Thanks for fixing that. I'm looking over the patch and I have some
initial changes where the multiplication uses the pipe function and the
product is implemented in the `q` basis.
The change of basis from `q` to `x` or vice versa is slow and so ideally I
would like to improve this.
I think that line 180 from `ncsym.py` is wrong. There should be no
morphism from NCSym to Sym, but there is a projection. There is however a
morphism from DNCSym to Sym.
DNCSym is similar to quasi-symmetric functions so that if you add the
right elements together (say some linear combination of the `w` basis)
then you have an element of Sym.
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Ticket URL: <http://trac.sagemath.org/ticket/15150#comment:17>
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