#15150: Implement NCSym
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.13
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #15143, #15164 | Stopgaps:
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Comment (by zabrocki):
I'm not sure if I should be too concerned because the doc tests are in a
hidden function and they are there to test if that coercion doesn't work,
not to demonstrate how to coerce between NCSym^*^ and Sym. I tried to
make it *slightly* clearer by changing the doc test.
I also changed the following because I don't think it is right:
{{{
There is also a natural projection to the usual symmetric functions by
letting the variables commute. This projection does *not* preserve the
product nor coproduct stucture, but instead is just a module morphism.
}}}
I think the slice defined in `from_symmetric_function` does not preserve
the Hopf structure, but the projection preserves both product and
coproduct.
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Ticket URL: <http://trac.sagemath.org/ticket/15150#comment:70>
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