#13461: Another WeylCharacterRing speedup
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Reporter: bump | Owner: bump
Type: enhancement | Status: new
Priority: major | Milestone: sage-5.4
Component: combinatorics | Keywords:
Work issues: needs testing and tweaking | Report Upstream: N/A
Reviewers: | Authors: Daniel Bump
Merged in: | Dependencies:
Stopgaps: |
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After the patch, if a WeylCharacterRing is created with style="coroots",
characters are computed using not the Freudenthal multiplicity formula,
but
rather the Demazure character formula. This can be done using only integer
addition and subtraction. If we run {{{sage -t --long
weyl_characters.py}}},
it is more than twice as fast (26 seconds versus 69 seconds) as
previously.
If we omit {{{--long}}} it is slightly slower, so there is a speedup for
big computations and a slight penalty for small ones.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13461>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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