#11546: Implementation of energy function for crystals
-----------------------------+----------------------------------------------
Reporter: aschilling | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.7.2
Component: combinatorics | Keywords: energy, crystals
Work_issues: | Upstream: N/A
Reviewer: | Author: Anne Schilling
Merged: | Dependencies:
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Description changed by aschilling:
Old description:
> This patch implements the energy function and affine grading for affine
> crystals and adds an entry in the corresponding thematic tutorial.
>
> In addition, it removes the condition that for the Lusztig involution the
> element is supposed to live in a crystal with a single highest weight
> element, and modifies the methods
> to_highest_weight and to_lowest_weight in crystal.py to make them more
> robust.
>
> The update to the thematic tutorial can be built using
>
> {{{
> sage -docbuild thematic_tutorials html
> }}}
>
> is available here:
>
> http://www.math.ucdavis.edu/~anne/sage/lie/affine_crystals.html
New description:
This patch implements the energy function and affine grading for affine
crystals and adds an
entry in the corresponding thematic tutorial. It also adds functions to
obtain the level and test perfectness
for Kirillov-Reshetikhin crystals.
In addition, it removes the condition that for the Lusztig involution the
element is supposed
to live in a crystal with a single highest weight element, and modifies
the methods
to_highest_weight and to_lowest_weight in crystal.py to make them more
robust.
The update to the thematic tutorial can be built using
{{{
sage -docbuild thematic_tutorials html
}}}
is available here:
http://www.math.ucdavis.edu/~anne/sage/lie/affine_crystals.html
Dependencies: #11183
Apply: trac_11546-crystals_energy-as.patch
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/11546#comment:6>
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