#17298: Adding Graded/Weighted Hilbert Series Functionality to Sage
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Reporter: john_perry | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: commutative | Resolution:
algebra | Merged in:
Keywords: Hilbert Series, | Reviewers: Travis Scrimshaw
weighted, singular | Work issues:
Authors: John Perry | Commit:
Report Upstream: N/A | 4e0715238f3e086418c95b8cfcb3fea7a44e1ac0
Branch: | Stopgaps:
public/ticket/17298-graded_hilbert_series|
Dependencies: |
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Comment (by tscrim):
Replying to [comment:14 john_perry]:
> I had thought about a vector, but it was so little work I figured the
client could do it. Grading by an additive abelian group is a new one to
me; how does that work? If it isn't too much trouble, we could work it
into this ticket; otherwise, I'll just mark it "positive review."
Well, (free) additive abelian groups of rank n are just ZZ^n^. Although
IDK if it makes mathematical sense to consider a grading group with
torsion (such as exterior algebras which have a natural ZZ,,2,, grading),
and if it doesn't, that's a bunch of parent checking. Yet from a coding
point of view, one just needs to pass it to `tuple`:
{{{
sage: G = AdditiveAbelianGroup([0,0])
sage: x = G(vector([4,2])); x
(4, 2)
sage: tuple(x)
(4, 2)
}}}
So since you're okay with making the user do things for a vector, then I'd
say set a positive review.
--
Ticket URL: <http://trac.sagemath.org/ticket/17298#comment:15>
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