#20292: Fix weight function and category for alcove path model
-----------------------------+------------------------------------
Reporter: tscrim | Owner: sage-combinat
Type: defect | Status: new
Priority: critical | Milestone: sage-7.2
Component: combinatorics | Keywords:
Merged in: | Authors: Travis Scrimshaw
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
-----------------------------+------------------------------------
For example highest weight elements don't have a weight in the dominant
chamber:
{{{
sage: C = crystals.AlcovePaths(['A',2], [2,0])
sage: C.module_generator[0]
(0, 2, 0)
}}}
Additionally, KR crystal elements are not of level 0:
{{{
sage: A = crystals.AlcovePaths(['A',2,1], [1,0],
highest_weight_crystal=False)
sage: for x in A:
....: x.weight()
Lambda[1]
-Lambda[1] + Lambda[2]
-Lambda[2]
}}}
Lastly, in finite type, the alcove path model does not know it is a
classical crystal:
{{{
sage: C.category()
Category of finite crystals
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/20292>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
--
You received this message because you are subscribed to the Google Groups
"sage-trac" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at https://groups.google.com/group/sage-trac.
For more options, visit https://groups.google.com/d/optout.
