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Producing subgroups of Weyl groups

Let W be a Weyl group, e.g. W = RootSystem('[A, 4]').weight_lattice().weyl_group

Given some elements SW, I would like to produce the subgroup generated by S. It seems like there are methods in SAGE to do this when W is an abstract group, but I can't see how to do it when W is a Weyl group. Any suggestions?

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updated 10 years ago

FrédéricC gravatar image

Producing subgroups of Weyl groups

Let W be a Weyl group, e.g. W = RootSystem('[A, 4]').weight_lattice().weyl_group

Given some elements SW, I would like to produce the subgroup generated by S. It seems like there are methods in SAGE to do this when W is an abstract group, but I can't see how to do it when W is a Weyl group. Any suggestions?

click to hide/show revision 3
retagged

updated 10 years ago

FrédéricC gravatar image

Producing subgroups of Weyl groups

Let W be a Weyl group, e.g. W = RootSystem('[A, 4]').weight_lattice().weyl_group

Given some elements SW, I would like to produce the subgroup generated by S. It seems like there are methods in SAGE to do this when W is an abstract group, but I can't see how to do it when W is a Weyl group. Any suggestions?