#14574: Bender-Knuth involutions and standardization of semistandard Young 
tableaux
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       Reporter:  darij                           |         Owner:  
sage-combinat   
           Type:  enhancement                     |        Status:  
needs_review    
       Priority:  major                           |     Milestone:  sage-5.10   
    
      Component:  combinatorics                   |    Resolution:              
    
       Keywords:  tableaux, partitions, combinat  |   Work issues:              
    
Report Upstream:  N/A                             |     Reviewers:  Travis 
Scrimshaw
        Authors:  Darij Grinberg                  |     Merged in:              
    
   Dependencies:                                  |      Stopgaps:              
    
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Comment (by tscrim):

 This should take care of everything.

 For the `straight` issue, I did not like this way of doing things. However
 there are other issues in the safety checks being made which I think
 should be on another ticket. I'm pretty sure some things are checked
 twice, and there should be a way which naturally converts from
 (semi)standard skew tableaux to (semi)standard tableaux without
 (semi)standardness (and tableaux) checks.

 Anyways, if you'd want, you can pull out the involution part as a separate
 function which returns a list of lists. It's up to you if you're fine with
 my implementation or to change it.

 Best,[[BR]]
 Travis

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14574#comment:7>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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