#18720: Change diagram algebra basis set partitions from list to generator
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   Reporter:  ghseeli    |            Owner:
       Type:             |           Status:  new
  enhancement            |        Milestone:  sage-6.8
   Priority:  minor      |         Keywords:  days65, partition algebra,
  Component:  algebra    |  diagram algebra
  Merged in:             |          Authors:  ghseeli
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:
   Stopgaps:             |
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 Currently, when building a diagram algebra, the functions that create the
 set partitions representing the diagrams create a list of all the correct
 set partitions. However, this behavior causes the initialization of the
 algebras to be slow in larger cases. Furthermore, there are things one can
 do in these algebras without needing to know the whole basis since it is
 usually pretty easy to determine if an element is in the algebra. Thus, in
 order to avoid this computation except when necessary, I have made the set
 partition generating functions return iterators instead of lists.

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Ticket URL: <http://trac.sagemath.org/ticket/18720>
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