#19359: Implement finite-dimensional subalgebras with basis
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.9
Component: algebra | Resolution:
Keywords: subalgebras | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by tscrim:
Old description:
> We currently have no generic class for subalgebras. In this ticket, we
> should implement basic features for magmatic subalgebras of a magmatic
> algebra with a basis:
>
> - finding a basis,
> - constructing the derived/lower central series,
> - centralizers and normalizers of a subset of elements, and
> - related properties.
>
> This will also promote some methods such as `center` to the category of
> magmatic algebras.
New description:
We currently have no generic class for subalgebras. In this ticket, we
should implement basic features for magmatic subalgebras of a magmatic
algebra with a basis:
- finding a basis,
- centralizers of a subset of elements, and
- some improvements for submodules.
This will also promote some methods such as `center` to the category of
magmatic algebras.
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Ticket URL: <http://trac.sagemath.org/ticket/19359#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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