#10744: Add Demazure character for elements in WeightRing and plotting for rank
2
root systems
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Reporter: benjaminfjones | Owner: sage-combinat
Type: enhancement | Status: new
Priority: minor | Milestone:
Component: combinatorics | Keywords: demazure, root system,
WeylCharacterRing, WeightRing, plot
Author: Benjamin Jones | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by benjaminfjones):
I'm uploading a new patch (version 2) which addresses suggestions from
the sage-combinat-devel list. The changes are:
1. added doctests for the `_demazure` helper method
2. many enhancements to `plot` incuding:
a. plotting the weight lattice
b. plotting the dominant Weyl chamber
c. turned plotting the axes off by default
The plots produced by the four examples in the docstring for `plot` can be
viewed here:
[https://bluedrive.uwstout.edu/users/facultystaff/jonesbe/research/sage/ex_1.png]
[https://bluedrive.uwstout.edu/users/facultystaff/jonesbe/research/sage/ex_2.png]
[https://bluedrive.uwstout.edu/users/facultystaff/jonesbe/research/sage/ex_3.png]
[https://bluedrive.uwstout.edu/users/facultystaff/jonesbe/research/sage/ex_4.png]
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10744#comment:2>
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