#10446: Implementation of the Schuetzenberger involution, the Lusztig involution
and the promotion operator
-------------------------------------------------------------+--------------
Reporter: ebeyerstedt | Owner:
sage-combinat
Type: enhancement | Status:
needs_review
Priority: major | Milestone:
sage-4.7
Component: combinatorics | Keywords:
schuetzenberger, involution, words
Author: Erin Beyerstedt, Ilke Canakci, Anne Schilling | Upstream:
N/A
Reviewer: Jason Bandlow | Merged:
Work_issues: |
-------------------------------------------------------------+--------------
Changes (by aschilling):
* status: needs_work => needs_review
* reviewer: => Jason Bandlow
Old description:
> This patch implements the Schuetzenberger involution on both words and
> tableaux.
> In addition it generalizes the promotion operator on tableau to act not
> only
> on rectangular tableaux, but tableaux of any shape.
New description:
This patch implements the Schuetzenberger involution on both words and
tableaux.
In addition it generalizes the promotion operator on tableaux to act not
only
on rectangular tableaux, but tableaux of any shape.
For CrystalsOfTableaux, the Lusztig involution is implemented and tested
in type `A`
to give the same result as the Schuetzenberger involution.
--
Comment:
A new version of the patch is attached. The method `has_letter` is now
called `cells_containing`. In addition, in CrystalsOfTableaux the new
method `lusztig_involution` is added. It is tested that for type `A` it
gives the same answer as the Schuetzenberger involution on tableaux.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10446#comment:15>
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