#18720: Change diagram algebra basis set partitions from list to generator
-------------------------------------+-------------------------------------
       Reporter:  ghseeli            |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  minor              |    Milestone:  sage-6.9
      Component:  algebra            |   Resolution:
       Keywords:  days65, partition  |    Merged in:
  algebra, diagram algebra           |    Reviewers:  Travis Scrimshaw
        Authors:  George H.          |  Work issues:
  Seelinger                          |       Commit:
Report Upstream:  N/A                |  ed5bd138582f9880070a2c2a1dff0ceed87764a0
         Branch:                     |     Stopgaps:
  u/tscrim/diagram_algebra_improvements-18720|
   Dependencies:  #18707             |
-------------------------------------+-------------------------------------
Changes (by vbraun):

 * status:  positive_review => needs_work


Comment:

 {{{
 sage -t --long src/sage/categories/magmatic_algebras.py
 **********************************************************************
 File "src/sage/categories/magmatic_algebras.py", line 139, in
 
sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods.algebra_generators
 Failed example:
     P.algebra_generators()
 Expected:
     Finite family {{{-1, 1}}: P[{{-1, 1}}], {{-1}, {1}}: P[{{-1}, {1}}]}
 Got:
     Lazy family (Term map from Partition diagrams of order 1 to Partition
 Algebra of rank 1 with parameter x over Univariate Polynomial Ring in x
 over Integer Ring(i))_{i in Partition diagrams of order 1}
 **********************************************************************
 1 item had failures:
    1 of   6 in
 
sage.categories.magmatic_algebras.MagmaticAlgebras.WithBasis.ParentMethods.algebra_generators
     [26 tests, 1 failure, 0.20 s]
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/18720#comment:64>
Sage <http://www.sagemath.org>
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