#11187: Implementation of finite reflection groups
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Reporter: stumpc5 | Owner: tbd
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-7.2
Component: combinatorics | Resolution:
Keywords: reflection group, | Merged in:
days49, days64.5, days80 | Reviewers:
Authors: Christian Stump | Work issues:
Report Upstream: N/A | Commit:
Branch: public/11187 | c5c43bcba449039892cecb0d18238b4bf87e8a7f
Dependencies: | Stopgaps:
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Description changed by stumpc5:
Old description:
> This patch implements reflection groups to work with finite
> (crystallographic, real, complex) reflection groups. It is based on the
> GAP3 package **chevie** which is now an experimental package, see
> #20107..
> {{{
> sage: W = ReflectionGroup(['A',2],5,23); W
> Reducible complex reflection group of rank 7 and type A2 x ST5 x H3
> sage: W.irreducible_components()
> [Irreducible real reflection group of rank 2 and type A2,
> Irreducible complex reflection group of rank 2 and type ST5,
> Irreducible real reflection group of rank 3 and type H3]
> }}}
>
> To install `chevie`, one needs to download it from Jean Michel's website
> http://webusers.imj-prg.fr/~jean.michel/gap3/, update some paths in
> `GAP3_folder/bin/gap.sh` and make this file execute when typing `gap3`
> inside the sage shell. I wouldn't think this is superhard to make an
> optional package as discussed at #8906.
New description:
This patch implements reflection groups to work with finite
(crystallographic, real, complex) reflection groups. It is based on the
GAP3 package **chevie** which is now an experimental package, see #20107.
{{{
sage: W = ReflectionGroup(['A',2],5,23); W
Reducible complex reflection group of rank 7 and type A2 x ST5 x H3
sage: W.irreducible_components()
[Irreducible real reflection group of rank 2 and type A2,
Irreducible complex reflection group of rank 2 and type ST5,
Irreducible real reflection group of rank 3 and type H3]
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/11187#comment:237>
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