Lie algebras

A form of Lie algebra — An algebra over a field whose bilinear product is alternating (or, equivalently for a bilinear product, anticommutative) and satisfies the Jacobi identity. Such a bilinear product is called a Lie bracket.

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Meanings

noun
  1. pluralplural of Lie algebra
Cite this entry
APA

Lie algebras. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Lie%20algebras

MLA

“Lie algebras.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Lie%20algebras. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Lie algebras,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Lie%20algebras.

Source: Lie algebras on Wiktionary, CC BY-SA 4.0.