#8359: Coxeter groups as permutation groups
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Reporter: nthiery | Owner: sage-combinat
Type: enhancement | Status: needs_work
Priority: major | Milestone:
Component: combinatorics | Keywords: Coxeter groups, permutation
groups, chevie
Author: Nicolas M. Thiéry | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Changes (by nthiery):
* cc: sage-combinat (added)
* status: new => needs_work
Old description:
> Patch in dev on the sage-combinat server
New description:
This patch adds a function:
{{{
CoxeterGroup(cartan_type, implementation = "matrix" / "permutation")
}}}
to construct Coxeter groups. Whenever possible, the Coxeter group is
constructed as a permutation group, using data from GAP3/Chevie; otherwise
a Weyl group is returned, as a matrix group. An upcoming implementation is
by reduced words, using the Coxeter 3 package.
Depends on #8380.
The patch on the sage-combinat server is almost ready, up to a glitch to
be investigated during the Sage-Combinat/Chevie workshop.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8359#comment:1>
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