Weyl Groups¶
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sage.categories.weyl_groups.
WeylGroups
¶ The category of Weyl groups
See the Wikipedia page of Weyl Groups.
EXAMPLES:
sage: WeylGroups() Category of weyl groups sage: WeylGroups().super_categories() [Category of coxeter groups]
Here are some examples:
sage: WeylGroups().example() # todo: not implemented sage: FiniteWeylGroups().example() The symmetric group on {0, ..., 3} sage: AffineWeylGroups().example() # todo: not implemented sage: WeylGroup(["B", 3]) Weyl Group of type ['B', 3] (as a matrix group acting on the ambient space)
This one will eventually be also in this category:
sage: SymmetricGroup(4) Symmetric group of order 4! as a permutation group