#8392: Implement RSK for generalized permutations
-------------------------------------+-------------------------------------
       Reporter:  nborie             |        Owner:  tscrim
           Type:  enhancement        |       Status:  closed
       Priority:  major              |    Milestone:  sage-5.11
      Component:  combinatorics      |   Resolution:  fixed
       Keywords:  permutation,       |    Merged in:  sage-5.11.beta0
  check, days38, days45              |    Reviewers:  Jeff Ferreira, Darij
        Authors:  Travis Scrimshaw   |  Grinberg
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
   Dependencies:  #6495, #13605,     |     Stopgaps:
  #8703, #14459, #14319, #14302      |
-------------------------------------+-------------------------------------

Comment (by saliola):

 - The ability of doing RSK and EG is a great feature, but the
 documentation isn't very clear. What is {{{[3,3,2]}}} mean with EG
 insertion? Since it isn't a reduced word, how should this be interpreted?
 It's not invertible either:
 {{{
 sage: P, Q = RSK([3,3,2], insertion='EG')
 sage: P
 [[2, 3], [3]]
 sage: Q
 [[1, 2], [3]]
 sage: RSK_inverse(P, Q, insertion='EG')
 word: 232
 }}}

 - I would have expected that the output of {{{RSK}}} could be used as
 input to {{{RSK_inverse}}}:
 {{{
 sage: RSK_inverse(RSK([1,2]))
 ---------------------------------------------------------------------------
 TypeError                                 Traceback (most recent call
 last)
 <ipython-input-154-cb6c9a6f810d> in <module>()
 ----> 1 RSK_inverse(RSK([Integer(1),Integer(2)]))

 TypeError: RSK_inverse() takes at least 2 arguments (1 given)
 }}}

 - I noticed that there are tab characters in file.

--
Ticket URL: <http://trac.sagemath.org/ticket/8392#comment:40>
Sage <http://www.sagemath.org>
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