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Parabolic and reflection subgroups of Coxeter groups #9292

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nthiery opened this issue Jun 21, 2010 · 3 comments
Open

Parabolic and reflection subgroups of Coxeter groups #9292

nthiery opened this issue Jun 21, 2010 · 3 comments
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@sagetrac-sage-combinat
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c: combinatorics p: major / 3 t: enhancement wishlist item

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@nthiery
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nthiery commented Jun 21, 2010

Potential interface:

    sage: W = SymmetricGroup(5)
    sage: P = W.parabolic_subgroup((1,3,4))
    # TODO: add desired features here
    sage: TestSuite(P).run()

    sage: P = W.reflection_subgroup(<a list/family of reflections>)
    sage: TestSuite(P).run()

Proof of concept attached.

CC: @sagetrac-sage-combinat

Component: combinatorics

Keywords: coxeter

Issue created by migration from https://trac.sagemath.org/ticket/9292
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nthiery commented Jun 21, 2010

comment:1

Attachment: reflection_subgroups.py.gz

@fchapoton
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Changed keywords from none to coxeter

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