#16926: Merge the features of SymmetricGroupAlgebra and SymmetricGroup.algebra
-------------------------------------+-------------------------------------
       Reporter:  nthiery            |        Owner:
           Type:  enhancement        |       Status:  needs_work
       Priority:  major              |    Milestone:  sage-6.6
      Component:  combinatorics      |   Resolution:
       Keywords:  days64             |    Merged in:
        Authors:  Travis Scrimshaw   |    Reviewers:  Darij Grinberg,
Report Upstream:  N/A                |  Nicolas M. ThiƩry
         Branch:                     |  Work issues:
  public/combinat/fix_sga-16926      |       Commit:
   Dependencies:  #17981             |  12aaaf819bbb30bbd28748f27944d295cd4884d2
                                     |     Stopgaps:
-------------------------------------+-------------------------------------

Comment (by jkeitel):

 The doctests haven't finished yet, but I already get these:

 {{{
 File "src/sage/combinat/backtrack.py", line 867, in
 sage.combinat.backtrack.TransitiveIdeal
 Failed example:
     [p for p in TransitiveIdeal(attrcall("permutohedron_succ"),
 [Permutation([1,2,3])])]
 Expected:
     [[1, 2, 3], [2, 1, 3], [1, 3, 2], [2, 3, 1], [3, 2, 1], [3, 1, 2]]
 Got:
     [[1, 2, 3], [2, 1, 3], [1, 3, 2], [2, 3, 1], [3, 1, 2], [3, 2, 1]]
 **********************************************************************
 File "src/sage/combinat/backtrack.py", line 873, in
 sage.combinat.backtrack.TransitiveIdeal
 Failed example:
     [p for p in TransitiveIdeal(attrcall("permutohedron_succ"),
 [Permutation([3,1,2,4]), Permutation([2,1,3,4])])]
 Expected:
     [[2, 1, 3, 4], [2, 1, 4, 3], [2, 4, 1, 3], [4, 2, 1, 3], [4, 2, 3, 1],
 [4, 3, 2, 1], [3, 1, 2, 4], [2, 4, 3, 1], [3, 2, 1, 4], [2, 3, 1, 4], [2,
 3, 4, 1], [3, 2, 4, 1], [3, 1, 4, 2], [3, 4, 2, 1], [3, 4, 1, 2], [4, 3,
 1, 2]]
 Got:
     [[2, 1, 3, 4],
      [3, 1, 2, 4],
      [2, 1, 4, 3],
      [3, 1, 4, 2],
      [2, 3, 1, 4],
      [3, 4, 1, 2],
      [3, 4, 2, 1],
      [2, 3, 4, 1],
      [2, 4, 1, 3],
      [3, 2, 1, 4],
      [4, 3, 1, 2],
      [4, 3, 2, 1],
      [3, 2, 4, 1],
      [4, 2, 1, 3],
      [2, 4, 3, 1],
      [4, 2, 3, 1]]
 **********************************************************************
 File "src/sage/combinat/backtrack.py", line 989, in
 sage.combinat.backtrack.TransitiveIdealGraded
 Failed example:
     [p for p in TransitiveIdealGraded(attrcall("permutohedron_succ"),
 [Permutation([3,1,2,4]), Permutation([2,1,3,4])])]
 Expected:
     [[3, 1, 2, 4], [2, 1, 3, 4], [2, 1, 4, 3], [3, 2, 1, 4], [2, 3, 1, 4],
 [3, 1, 4, 2], [2, 3, 4, 1], [3, 4, 1, 2], [3, 2, 4, 1], [2, 4, 1, 3], [2,
 4, 3, 1], [4, 3, 1, 2], [4, 2, 1, 3], [3, 4, 2, 1], [4, 2, 3, 1], [4, 3,
 2, 1]]
 Got:
     [[3, 1, 2, 4],
      [2, 1, 3, 4],
      [2, 3, 1, 4],
      [2, 1, 4, 3],
      [3, 2, 1, 4],
      [3, 1, 4, 2],
      [3, 2, 4, 1],
      [2, 4, 1, 3],
      [3, 4, 1, 2],
      [2, 3, 4, 1],
      [4, 3, 1, 2],
      [3, 4, 2, 1],
      [4, 2, 1, 3],
      [2, 4, 3, 1],
      [4, 3, 2, 1],
      [4, 2, 3, 1]]
 **********************************************************************
 2 items had failures:
    2 of  16 in sage.combinat.backtrack.TransitiveIdeal
    1 of   8 in sage.combinat.backtrack.TransitiveIdealGraded
     [176 tests, 3 failures, 102.22 s]
 }}}

--
Ticket URL: <http://trac.sagemath.org/ticket/16926#comment:64>
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