#17096: Implement categories for filtered algebras
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: categories | Resolution:
Keywords: filtered algebras | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/categoires/filtered_algebras-17096|
ad184efacc9ceabfb1179ccd4d677786f4713b01
Dependencies: | Stopgaps:
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Changes (by {'newvalue': u'Travis Scrimshaw', 'oldvalue': ''}):
* status: new => needs_review
* commit: => ad184efacc9ceabfb1179ccd4d677786f4713b01
* branch: => public/categoires/filtered_algebras-17096
* author: => Travis Scrimshaw
Comment:
Some design decisions:
- Every graded algebra is a filtered algebra under the "natural"
filtration of summing over (weakly) smaller degrees (assuming total
ordering on the grading group). This is implicit in the category
structure; nothing specific is implemented.
- Every `graded_*` category has `filtered_*` as an immediate super
category. In particular, this is needed for `GradedAlgebrasWithBasis` not
picking up `FilteredAlgebrasWithBasis` in its super categories otherwise.
- Homogeneous elements for filtered algebras are elements in F,,i,, not in
F,,i-1,,. I don't know if this is a standard definition, but it allowed
extensions of methods from graded to filtered.
Needs review.
----
New commits:
||[http://git.sagemath.org/sage.git/commit/?id=ad184efacc9ceabfb1179ccd4d677786f4713b01
ad184ef]||{{{Implemented filtered modules/algebras and associated graded
algebras.}}}||
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Ticket URL: <http://trac.sagemath.org/ticket/17096#comment:1>
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