#18762: Create coercion between diagram algebras and the symmetric group algebra
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       Reporter:  ghseeli            |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-6.9
      Component:  algebra            |   Resolution:
       Keywords:  diagram algebra,   |    Merged in:
  partition algebra, days65          |    Reviewers:
        Authors:  George H.          |  Work issues:
  Seelinger                          |       Commit:
Report Upstream:  N/A                |  ea857ff335ac439123ef7b7891bdd8909e5c3fb4
         Branch:                     |     Stopgaps:
  
u/ghseeli/create_coercion_between_diagram_algebras_and_the_symmetric_group_algebra|
   Dependencies:  #18720             |
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Comment (by tscrim):

 My guess is that we have the coercion situation `BA -> X -> A` where `X`
 is some intermediate object that makes the coercion chain. At some point
 in the doctests:

 1 - `BA` and `A` have been created, but `X` has not.
 2 - There is a check in some way for if there is a coercion from `BA` to
 `A`, which there is not. (This can be something as innocuous as `A(x)`
 where `x in BA`).
 3 - The result of 2 is cached, so even when `X` is created, there is no
 check to see if there is a coercion path from `BA` to `A`.

 However that is just a quick guess from the symptoms. I will take a more
 detailed look over the next few days.

 Side note in case you didn't notice, you have `TESTS:` block which should
 be `TESTS::`.

--
Ticket URL: <http://trac.sagemath.org/ticket/18762#comment:24>
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