#18044: Implement categories for super algebras/modules
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.6
Component: categories | Keywords: super
Merged in: | Authors: Travis Scrimshaw
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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After some design discussion, a proposal for an implementation is to be a
subcategory of `Graded` algebras/modules whose default even/odd considers
the given grading as being `ZZ / 2 ZZ` compatible. Thus it will have the
following methods:
- `is_even()`
- `is_odd()`
- `is_even_odd()`
The API will be the user defines a `degree` method which is then called by
`is_even_odd()` and taken mod 2. Therefore if the user wants to have a
special grading group, then the user can override `is_even_odd()` to
translate that into 0 or 1. The hook of `is_even_odd` also allows the user
to change the super behavior away from the grading group (which will get
used in #17096).
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Ticket URL: <http://trac.sagemath.org/ticket/18044>
Sage <http://www.sagemath.org>
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