#15726: Implement tensor modules and algebras
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: algebra | Resolution:
Keywords: tensor module | Merged in:
algebra | Reviewers:
Authors: Travis Scrimshaw | Work issues:
Report Upstream: N/A | Commit:
Branch: | 726b7a92af369bbfa6517c59aec2973d68f87123
public/algebras/tensor_algebra-15726| Stopgaps:
Dependencies: #15289 |
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Comment (by tscrim):
I've rebased this and added the construction functor. From doing some
reading (on wikipedia), the tensor algebra is a different construction
than the free algebra, as this is a functor from modules to algebras,
whereas the free algebra is a functor from sets to algebras (well...should
be as the `construction()` and the corresponding functor currently isn't
implemented).
FTR, I felt that it was better to not put `TensorAlgebraFunctor` as
`TensorAlgebra` in the global namespace (instead injecting the class
`TensorAlgebra`) because we would have syntax like
`TensorAlgebra(M.base_ring())(M)`. Plus having it accessible via
`construction()` seems to be what we currently do in Sage.
--
Ticket URL: <http://trac.sagemath.org/ticket/15726#comment:20>
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