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... > topology > algebraic topology > manifold > differentiable manifold > Lie group > Weyl group
... > geometry > topological space > manifold > differentiable manifold > Lie group > Weyl group
geometry > differential geometry > differentiable manifold > Lie group > Weyl group
topology > differential topology > differentiable manifold > Lie group > Weyl group
algebra > group theory > topological group > Lie group > Weyl group
algebra > differential algebra > Lie algebra > Weyl group
... > algebra > abstract algebra > algebraic structure > algebra over a field > Lie algebra > Weyl group

Preferred term

Weyl group  

Definition

  • In mathematics, in particular the theory of Lie algebras, the Weyl group (named after Hermann Weyl) of a root system Φ is a subgroup of the isometry group of that root system. Specifically, it is the subgroup which is generated by reflections through the hyperplanes orthogonal to the roots, and as such is a finite reflection group. In fact it turns out that most finite reflection groups are Weyl groups. Abstractly, Weyl groups are finite Coxeter groups, and are important examples of these.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Weyl_group)

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http://data.loterre.fr/ark:/67375/PSR-P64TCLGF-0

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RDF/XML TURTLE JSON-LD Created 8/4/23, last modified 8/4/23