#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 jhpalmieri):
Is there a good way to extend this to work for some infinite-dimensional
subalgebras? From the mathematical point of view, `k[x]` should be
constructable as a subalgebra of `k[x,y]`. (I don't know how well the Sage
implementations of these fit into the category framework.) From my point
of view, at some point I should rewrite the Steenrod algebra stuff to fit
into the category framework, and it has plenty of interesting infinite-
dimensional subalgebras with explicit descriptions of their bases. At
least some of these subalgebras are available in Sage. The Steenrod
algebra also happens to be graded and finite-dimensional in each graded
piece, for what that's worth.
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Ticket URL: <http://trac.sagemath.org/ticket/19359#comment:5>
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