#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, words, crystals
Author: Erin Beyerstedt, Ilke Canakci, Anne Schilling | Upstream:
N/A
Reviewer: Jason Bandlow | Merged:
Work_issues: |
-------------------------------------------------------------+--------------
Description changed by aschilling:
Old 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.
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 crystals in the category ClassicalCrystals, the Lusztig involution is
implemented and tested in type `A` to give the same result as the
Schuetzenberger involution.
A section about the Lusztig involution is added to the thematic tutorial
on crystals. A copy of the html documentation built using
{{{
sage -docbuild thematic_tutorials html
}}}
is available here:
http://www.math.ucdavis.edu/~anne/sage/lie/crystals.html
(which might not always be completely up to date).
--
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10446#comment:19>
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