#5551: Permutation from a pair of standard tableaux
---------------------------+------------------------------------------------
 Reporter:  slabbe         |       Owner:  slabbe            
     Type:  defect         |      Status:  new               
 Priority:  major          |   Milestone:  sage-3.4.1        
Component:  combinatorics  |    Keywords:  robinson schensted
---------------------------+------------------------------------------------
 1. In sage 3.4, the Robinson Schensted algorithm is coded for a
 permutation :

 {{{
 sage: p = Permutation([3, 6, 5, 2, 7, 4, 1])
 sage: p.robinson_schensted()
 [[[1, 4, 7], [2, 5], [3], [6]], [[1, 2, 5], [3, 6], [4], [7]]]
 }}}

 Since this algorithm is invertible, it would be nice to allow to construct
 a permutation from a pair of standard tableaux of the same shape.

 2. The Robinson-Schensted is broken on the empty permutation. It should
 simply return a pair of empty tableaux :

 {{{
 sage: p=Permutation([])
 sage: p.robinson_schensted()
 Traceback (most recent call last):
 ...
 ValueError: invalid tableau
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5551>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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