#15820: Implement sequences of bounded integers
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Reporter: SimonKing | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: algebra | Resolution:
Keywords: sequence bounded | Merged in:
integer | Reviewers:
Authors: Simon King | Work issues:
Report Upstream: N/A | Commit:
Branch: | 5dc78c5f5f647bf95b98da916d7086fae539ffb8
u/SimonKing/ticket/15820 | Stopgaps:
Dependencies: |
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Comment (by SimonKing):
Replying to [comment:48 ncohen]:
> None from me. I keep being impressed at how much testing/researching you
put into this quiver features... I really wonder what you will do with it
in the end `;-)`
- Gröbner bases for modules over path algebra quotients.
- In particular, an implementation of the non-commutative version of
Faugère's F5 algorithm that I have described in my latest article.
- Compute minimal generating sets for modules over so-called "basic
algebras" (that's a special type of path algebra quotients), which is
possible with the non-commutative F5, as shown in my latest article.
- Use all this to compute minimal projective resolutions of basic
algebras, but please be faster than what we currently do in our optional
group cohomology spkg. Currently, we use a method of David Green for
computing the minimal resolutions; but F5 should be more efficient---
theoretically...
That said: I guess it would make sense to adopt bounded integer sequences
in appropriate parts of sage.combinat.words, but I leave this to others.
--
Ticket URL: <http://trac.sagemath.org/ticket/15820#comment:51>
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