#19359: Implement finite-dimensional subalgebras with basis
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.10
Component: algebra | Resolution:
Keywords: subalgebras | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/algebras/subalgebras-19359 | 0f159aaa1c04b36e482f623a98a875cf246a17ae
Dependencies: #19448 | Stopgaps:
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Comment (by tscrim):
The better way would be to just write a separate class (probably
inheriting from `CombinatorialFreeModule`), implement a `lift` (and
`retract`?) method which is the natural inclusion into the Steenrod
algebra, have it be in the corresponding `Subobjects()` category, and make
sure it knows the coercion.
Although for graded algebras with finite-dimensional components, this
should be doable in a generic fashion (and would be useful for the
combinatorial Hopf algebras). Something to work on after #17367.
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Ticket URL: <http://trac.sagemath.org/ticket/19359#comment:6>
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