#14898: Poincaré-Birkhoff-Witt and dual bases
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Reporter: deneufchatel | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-5.12
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Matthieu Deneufchâtel | Reviewers: Travis Scrimshaw
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Changes (by tscrim):
* status: new => needs_review
* reviewer: => Travis Scrimshaw
Old description:
> Implements:
> - the Poincaré-Birkhoff-Witt basis of the free algebra and several
> related functions
> - the dual basis of the previous one in the shuffle algebra.
New description:
Implements:
- the Poincaré-Birkhoff-Witt basis of the free algebra and several related
functions
- the dual basis of the previous one in the shuffle algebra.
Also puts `FreeAlgebra` in the category of `AlgebrasWithBases`.
Apply: [attachment: trac_14898-pbw_folded-ts.patch]
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Comment:
Hey Matthieu,
Here's the folded patch which:
- Makes your functions into methods of the correct classes.
- Implements coercion between the bases.
- Moves `FreeAlgebra` into the category of `AlgebrasWithBases`.
- Makes every function have a doctest.
This is the patch which applies for me on sage 5.11 and 5.12.beta3. You'll
probably want to delete using `sage -hg qremove` all of the patches
related to this ticket and then `sage -hg qimport /path/to/this/file` and
`sage -hg qpush`.
Let me know if you're happy with my changes.
Best,[[BR]]
Travis
For patchbot:
Apply: trac_14898-pbw_folded-ts.patch
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Ticket URL: <http://trac.sagemath.org/ticket/14898#comment:36>
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