#19506: Implement cellular algebras
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   Reporter:  tscrim       |            Owner:  sage-combinat
       Type:  enhancement  |           Status:  new
   Priority:  major        |        Milestone:  sage-6.10
  Component:  algebra      |         Keywords:  cellular algebra
  Merged in:               |          Authors:  Travis Scrimshaw
  Reviewers:               |  Report Upstream:  N/A
Work issues:               |           Branch:
     Commit:               |     Dependencies:
   Stopgaps:               |
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 Cellular algebras are a class of algebras that have a well-behaved
 representation theory generalizing that of the Hecke algebra:

 - https://en.wikipedia.org/wiki/Cellular_algebra
 - http://webusers.imj-prg.fr/~bernhard.keller/ictp2006/lecturenotes/xi.pdf

 We give a basic category implementation of cellular algebras and add the
 symmetric group algebra into this category as an example implementation.

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Ticket URL: <http://trac.sagemath.org/ticket/19506>
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