#13391: WeylCharacterRing improvement
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Reporter: bump | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.3
Component: combinatorics | Keywords: WeylCharacterRing, Lie
Work issues: | Report Upstream: N/A
Reviewers: | Authors: Daniel Bump
Merged in: | Dependencies:
Stopgaps: |
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The multiplication algorithm for WeylCharacterRings is changed by this
patch to an algorithm based on the Brauer-Klimyk formula. This algorithm
is asymmetric, so that a*b and b*a are equal but computed differently. It
gives a modest speedup for sage -t weyl_characters.py but for tasks it is
a dramatic improvement. As an example, create the spin character of
Spin(9):
sage: B4=WeylCharacterRing("B4",style="coroots")
sage: spin=B4(0,0,0,1)
Now try raising this to different powers before and after the patch.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13391>
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