#15311: Implement the classical Hall algebra and polynomials
--------------------------------------------+----------------------------
Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-5.13
Component: algebra | Resolution:
Keywords: Hall algebra polynomials | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #15305 | Stopgaps:
--------------------------------------------+----------------------------
Old description:
> Implements the classical Hall algebra and the corresponding Hall
> polynomials.
>
> Apply:
>
> * [attachment:trac_15311-hall_algebras-ts.patch]
> * [attachment:trac_15311-rev-dg.patch]
New description:
Implements the classical Hall algebra and the corresponding Hall
polynomials.
Apply:
* [attachment:trac_15311-hall_algebras-ts.patch]
--
Comment (by tscrim):
I was trying out new spellings of my names, and then copy/paste fun! XP
So I've folded in your review patch and made the following changes:
- Fixed a bug so computations work for prime powers (I forgot to pass
`self._q` to `hall_polynomial()`). This uncovered another problem, that
[univariate] Laurent polynomials don't divide like the should (see
#11726), so I changed all of the tests to use the fraction field.
- Fixed the coercion.
- Made `HallAlgebra` lazily imported.
- Improved the doc and added some more doctests.
I didn't want to make this depend on #11726 since functionally it will
work when Laurent polynomials do the division like they should (although
it is ''horrendously'' slow with the current #11726 patch).
For patchbot:
Apply: trac_15311-hall_algebra-ts.patch
--
Ticket URL: <http://trac.sagemath.org/ticket/15311#comment:7>
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