#14192: Infinity crystal of tableaux
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       Reporter:  bsalisbury1                      |         Owner:  
sage-combinat
           Type:  enhancement                      |        Status:  
needs_review 
       Priority:  major                            |     Milestone:  sage-5.9   
  
      Component:  combinatorics                    |    Resolution:             
  
       Keywords:  crystal, tableaux                |   Work issues:             
  
Report Upstream:  N/A                              |     Reviewers:             
  
        Authors:  Ben Salisbury, Travis Scrimshaw  |     Merged in:             
  
   Dependencies:  #14252                           |      Stopgaps:             
  
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Comment (by aschilling):

 Hi Ben and Travis,

 Here are some further comments:

 - The reference [KN94] seems to be missing in the documentation. It is not
 clickable.

 - Since you mention "... in the i-th row from the top i" you need to
 clarify whether you are using English or French conventions for the
 tableaux.

 - Please say something about the shape of the tableaux you are using. I
 assume they can be arbitrarily large.

 - Too many "the" in "...the the i-th row"

 - The reference [BN10]  D. Bump and M. Nakasuji. Integration on p-adic
 groups and crystal bases. Proc. Amer. Math. Soc. 138(5), pp. 1595–1605. is
 not referred to.

 - The input I assume is a finite Cartan type. Please specify this in
 "cartan_type – A Cartan type".

 - In the doctest for f you say "Return the action of e˜i on self." I guess
 this should be f~!

 - In the doc for reduced_form, the following is not a sentence: "The
 reduced form of a T∈(∞) that is a tableaux with all i-boxes in the i-th
 row removed and if the row is empty, a ∗ is put as a placeholder." Perhaps
 you want to remove the "that"?

 - In the documentation for string_parameters, please define the boldface
 i.

 - In the definition of weight, there are two typos in "indendepent of the
 path choosen". Also, please say that the \alpha_i are simple roots.

 - In InfinityCrystalOfTableauxTypeD replace "constaints" by "constraints".

 So much for now!

 Anne

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14192#comment:10>
Sage <http://www.sagemath.org>
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