#15916: Tensors on free modules of finite rank
-------------------------------------+-------------------------------------
       Reporter:  egourgoulhon       |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.4
      Component:  linear algebra     |   Resolution:
       Keywords:  free module,       |    Merged in:
  tensor, tensor product             |    Reviewers:  Travis Scrimshaw
        Authors:  Eric Gourgoulhon,  |  Work issues:
  Michal Bejger                      |       Commit:
Report Upstream:  N/A                |  5fba412cef169dc7bbc1c32b7d254ab0bf185d4a
         Branch:                     |     Stopgaps:
  public/tensor_modules-15916        |
   Dependencies:                     |
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Comment (by egourgoulhon):

 Replying to [comment:38 tscrim]:
 > Okay, I've made a first pass of changes. So overall it looks really
 good, but there's currently some issues that need addressing. Here's what
 I've changed:
 >

 Thank you very much for your work on this ticket! I am looking at the diff
 and I am impressed by the amount of things that you have changed! This is
 very instructive to me.

 >
 > Some questions:
 >

 I shall reply later to your questions, but I can already say that I
 implemented morphisms last week, in the working repository of
 !SageManifolds at https://github.com/sagemanifolds/sage. The free module
 morphisms inherit from `Morphism` and their parent class from `Homset`.
 Coercions have been implemented between endomorphisms and type-(1,1)
 tensors. I shall merge this branch into the ticket branch this week.

 >
 > Some things to do:
 >
 > - Implement a `_matrix_` method so (1,1)-tensors `t` can be passed as
 `matrix(t)`.
 > - Fix all failures from the `TestSuite` or justify why we can skip
 certain tests.
 >

 OK I will work on this in the coming weeks.

--
Ticket URL: <http://trac.sagemath.org/ticket/15916#comment:39>
Sage <http://www.sagemath.org>
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