#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 tscrim):
Hey Mike,
The biggest thing why it's not imported is the name, I didn't think just
calling it `DualSymmetricFunctionsNonCommutingVariables` was more
descriptive than calling
`SymmetricFunctionsNonCommutingVariables(QQ).dual()` (and it's not much
shorter to call). I'm not 100% happy with the name (being the global
namespace) since I seem to want to attach dual to function, as in the dual
symmetric functions (as in linear functionals) in non-commuting variables.
I know it doesn't make much sense, but it sounded more descriptive than
`SymmetricFunctionsNonCommutingVariablesDual`. I'll import `Dual*` in the
next version unless we come up with a better name. I can't think of one
right now... Franco, you have any ideas as well?
I'll use http://arxiv.org/abs/math/0605262 to give a realization and also
define a coercion from `QSym` into `DNCSym`.
Hey Darij,
Yes, up to abuse of labels on commutative diagrams. I'll change it to
explicitly state that {{{`\chi \circ p = \phi` on Sym}}} (up to function
names).
Best,[[BR]]
Travis
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Ticket URL: <http://trac.sagemath.org/ticket/15150#comment:42>
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