#14898: Poincaré-Birkhoff-Witt and dual bases
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Reporter: deneufchatel | Owner: sage-combinat
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.12
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Matthieu Deneufchâtel | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Dependencies:
Stopgaps: |
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Comment (by jhpalmieri):
What exactly is the Poincaré-Birkhoff-Witt basis of a free algebra? Free
algebras have exponential growth, and PBW bases have polynomial growth, so
I don't see how a free algebra can have a PBW basis.
I may very well be missing something, but I think you need to explain what
this term means in this context, and probably provide a reference.
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Ticket URL: <http://trac.sagemath.org/ticket/14898#comment:3>
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