#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 | Resolution:
Keywords: Coxeter groups, permutation groups, chevie | Work issues:
Report Upstream: N/A | Reviewers:
Anne Schilling, Mike Hansen
Authors: Nicolas M. Thiéry | Merged in:
Dependencies: | Stopgaps:
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Changes (by aschilling):
* reviewer: => Anne Schilling, Mike Hansen
Old 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.
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.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8359#comment:2>
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