#18762: Create coercion between diagram algebras and the symmetric group algebra
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   Reporter:  ghseeli    |            Owner:
       Type:             |           Status:  new
  enhancement            |        Milestone:  sage-6.8
   Priority:  minor      |         Keywords:  diagram algebra, partition
  Component:  algebra    |  algebra, days65
  Merged in:             |          Authors:  George H. Seelinger
  Reviewers:             |  Report Upstream:  N/A
Work issues:             |           Branch:
     Commit:             |     Dependencies:  #18720
   Stopgaps:             |
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 There is a natural embedding of elements of the symmetric group algebra
 into diagram algebras, especially the partition algebra and the Brauer
 algebra. Therefore, there should be a morphism registered to the coercion
 model to allow for symmetric group algebra elements to be coerced into the
 appropriate diagram algebras. This morphism is pretty straight forward and
 will only take a few lines to implement.

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Ticket URL: <http://trac.sagemath.org/ticket/18762>
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