Weyl group

noun

A subgroup of the isometry group of a root system, generated by reflections through the hyperplanes orthogonal to the roots.

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Meanings

nounWeyl group (plural Weyl groups)

plural Weyl groups

  1. mathematicsA subgroup of the isometry group of a root system, generated by reflections through the hyperplanes orthogonal to the roots.

Origin

Named after Hermann Weyl.

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Cite this entry
APA

Weyl group. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Weyl%20group

MLA

“Weyl group.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Weyl%20group. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Weyl group,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Weyl%20group.

Source: Weyl group on Wiktionary, CC BY-SA 4.0.