#15584: Some more affine crystals
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.8
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: Travis Scrimshaw | Reviewers: Ben Salisbury
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/combinat/crystals/more_affine|
207520d9f96761ad371912b4aa1c96ba50357880
Dependencies: #16172 #18769 | Stopgaps:
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Changes (by bsalisbury1):
* status: needs_review => needs_work
* reviewer: => Ben Salisbury
* milestone: sage-6.4 => sage-6.8
Comment:
Hi Travis,
There are still some things that need to be changed with the
multipartition model and the multisegment model. Some highlights:
- The Kleschev multipartition model and the JMMO multipartition model are
closely related; perhaps both should be on the same ticket. Moreover, the
display of these partitions should include the residues in cells of the
partitions so that the charge of the partition is clear to the user
(though maybe you have added this already after we talked a while back).
- There are two well-known crystal structures on multisegments, and they
are related by the star-crystal operators. The convention being used
should be clear and probably even the star-crystal operators should be
added. In particular, see the 2009 paper by Jacon and Lecouvey in Pac. J.
Math. It is my personal opinion that the notation and structure of that
paper is the one that should be followed for the implementation, including
changing the data structure of the multisegments to use dictionaries of
the form `{(interval) : coefficient}`.
I vaguely remember there being some additional changes, too, but I can't
be more specific until I have time to delve deeper into the patch.
Best,
Ben
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Ticket URL: <http://trac.sagemath.org/ticket/15584#comment:20>
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