#15560: Add methods to rigged configurations
-------------------------------------+-------------------------------------
       Reporter:  tscrim             |        Owner:  sage-combinat
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.2
      Component:  combinatorics      |   Resolution:
       Keywords:  rigged             |    Merged in:
  configurations                     |    Reviewers:  Anne Schilling
        Authors:  Travis Scrimshaw   |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:                     |  df3a9ebd23841479e05cd11b6a84d6807dfa3e4a
  public/combinat/rigged_configurations/methods-15560|     Stopgaps:
   Dependencies:  #13872 #15882      |
-------------------------------------+-------------------------------------
Changes (by tscrim):

 * status:  needs_work => needs_review
 * reviewer:   => Anne Schilling
 * dependencies:  #13872 => #13872 #15882


Comment:

 Here's the major changes:

 - Based this off #15882.

 - Added the Luzstig involution to (tensor products of) KR tableaux, KR
 crystals, and rigged configurations.

 - Added left/right splitting maps to (tensor products of) KR tableaux and
 rigged configurations. (The right splitting map is non-trivial on KR
 tableaux; look in type D,,4,,^(1)^ at the B^2,2^ module generators.)

 - Moved `opposition_automorphism()` from the crystals category into Cartan
 types.

 - Fixed the typo noted above.

 Best,[[BR]]
 Travis

--
Ticket URL: <http://trac.sagemath.org/ticket/15560#comment:12>
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