#14982: When a parent is equipped with an embedding, consider coercions that 
don't
go through the embedding
-------------------------------------+-------------------------------------
       Reporter:  mmezzarobba        |        Owner:
           Type:  defect             |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  coercion           |   Resolution:
       Keywords:  embedding          |    Merged in:
        Authors:  Marc Mezzarobba    |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/mmezzarobba/14982-coerce_embeddings|  
4b55415e1dd476e6010fb82b174d5fa455f963bd
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by vdelecroix):

 Replying to [comment:44 mmezzarobba]:
 > Replying to [comment:43 vdelecroix]:

 > > The hack for quadratic number field is horrible...
 >
 > You are the one who introduced it, aren't you? `;-)` So I guess you
 understand what it is for better than I do. In any case I just tested the
 change you suggested (on top of my branch + the current master) and it
 doesn't seem to break anything.

 I am ;-(. Thanks for fixing it! I really do not like the loop here:
 coercion needs an element, but the elements need to know coercion...
 (certainly out of the scope of the ticket).

 I fixed the `q_binomial` issue (see the commit on top `public/14982`,
 WARNING: it is merged with 6.7.beta2). If you like it just cherry-pick it
 on top of your branch. Otherwise, I will open a new ticket. I actually
 found another bug:
 {{{
 sage: Sym = SymmetricFunctions(QQ)
 sage: s = Sym.schur()
 sage: 1 - s[2]
 s[] - s[2]
 sage: 1r - s[2]
 Traceback (most recent call last):
 ...
 TypeError: unsupported operand type(s) for -: 'int' and
 'SymmetricFunctionAlgebra_schur_with_category.element_class'
 }}}

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/14982#comment:46>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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