#14089: Speed improvements in affine crystals and fix of optional doctest 
failure
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       Reporter:  aschilling      |         Owner:  sage-combinat    
           Type:  defect          |        Status:  needs_review     
       Priority:  major           |     Milestone:  sage-5.8         
      Component:  combinatorics   |    Resolution:                   
       Keywords:  crystals        |   Work issues:                   
Report Upstream:  N/A             |     Reviewers:  Nicolas M. Thiery
        Authors:  Anne Schilling  |     Merged in:                   
   Dependencies:  #14052          |      Stopgaps:                   
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Comment (by tscrim):

 Does this also speed up the type `['D', n, 1]` spin KR crystals (right now
 they take a long time because `promotion_on_highest_weight_vectors()`
 iterates over the entire crystal and is called 3 times)?

 Also, for the `index_set()` method in `categories/crystals.py`, could we
 change it so that it returns `self._cartan_type.index_set()`? It seems
 that `CrystalOfTableaux` is the only crystal which directly implements
 `cartan_matrix()` and does not have the `_cartan_matrix` attribute. This
 seems to drop the number of function calls when iterating over crystals by
 about 10%.

 Thanks,[[BR]]
 Travis

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14089#comment:3>
Sage <http://www.sagemath.org>
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