#7983: Notion of descent/major index in tableau.py is not mathematically 
standard
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   Reporter:  jbandlow       |       Owner:  sage-combinat
       Type:  defect         |      Status:  needs_review 
   Priority:  major          |   Milestone:               
  Component:  combinatorics  |    Keywords:               
     Author:                 |    Upstream:  N/A          
   Reviewer:  jbandlow       |      Merged:               
Work_issues:                 |  
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Changes (by arattan):

  * status:  new => needs_review
  * reviewer:  => jbandlow


Comment:

 I have made a patch that resolves this issue.

 What I have done is renamed the old methods 'major_index' and 'descents'
 to 'i_major_index' and 'i_descents'.  From what I can tell, only one other
 method refers to either of these methods and that is 'inversion', and I
 have not changed that at all except to refer to the new 'i_descents' (in
 particular I have not changed the name of 'inversion').

 I have then made new methods called 'major_index' and 'descents' which use
 a more standard definition (i.e. the one on pages 361 and 363 of
 Enumerative Combinatorics Vol 2 by R. Stanley).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7983#comment:1>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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