#16819: Implement categories for Lie algebras
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: categories | Resolution:
Keywords: lie algebras | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/categories/lie_algebras-16819|
6201720759c9f35cb0349a3c71d7b178686ef346
Dependencies: | Stopgaps:
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Comment (by tscrim):
I don't like stating that it is unindexed; in fact, it is typically
indexed by `[n]`. Currently we don't have good support for other indexed
instances of `FreeModule`, but this is something we want to change in the
future. In that vein, I don't quite care for saying it is a column vector.
Also I'd rather say that we pick an ordering of some basis if it exists,
rather than saying if there exists one.
The reason I had an abstract method `module` in `LieAlgebras` was to say
it was natural, but it was made optional for what I hope are obvious
reasons.
I don't really like this paradigm of `from_vector`, but instead just
wanted to use the basis and/or implementing a general
`_element_constructor_` in the ABC which handles the conversion (if such a
conversion exists).
--
Ticket URL: <http://trac.sagemath.org/ticket/16819#comment:50>
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