#16841: Define parabolic subgroup of a Coxeter group
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Reporter: amri | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: coxeter-group | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Description changed by amri:
Old description:
> One would like to do something like:
> {{{
> sage: W = SymmetricGroup(6)
> sage: I = [2,3,4]
> sage: W.parabolic_subgroup(I)
> }}}
> and get the parabolic subgroup.
New description:
One would like to have something like:
{{{
sage: W = SymmetricGroup(6)
sage: I = [2,3,4]
sage: P = W.parabolic_subgroup(I)
sage: P in FiniteWeylGroups()
True
sage: P.simple_reflections()
Finite family {2: (2,3), 3: (3,4), 4: (4,5)}
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/16841#comment:1>
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