#11187: Implementation of finite reflection groups
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Reporter: stumpc5 | Owner: tbd
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.8
Component: combinatorics | Resolution:
Keywords: reflection group, | Merged in:
days49, days 64.5 | Reviewers:
Authors: Christian Stump | Work issues:
Report Upstream: N/A | Commit:
Branch: | 40d22b23447993f976e9680aec23d32c4f4c34f4
u/stumpc5/11187-new | Stopgaps:
Dependencies: #18620 |
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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**.
> {{{
> 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]
> }}}
New description:
This patch implements reflection groups to work with finite
(crystallographic, real, complex) reflection groups. It is based on the
GAP3 package **chevie**.
{{{
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.
--
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Ticket URL: <http://trac.sagemath.org/ticket/11187#comment:100>
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