Kac-Moody algebra

noun

A Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix. They have applications in theoretical physics.

Meanings

nounKac-Moody algebra (plural Kac-Moody algebras)

plural Kac-Moody algebras

  1. mathematicsA Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix. They have applications in theoretical physics.

Origin

Named after Victor Kac and Robert Moody, who independently discovered them.

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APA

Kac-Moody algebra. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Kac-Moody%20algebra

MLA

“Kac-Moody algebra.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Kac-Moody%20algebra. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Kac-Moody algebra,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Kac-Moody%20algebra.

Source: Kac-Moody algebra on Wiktionary, CC BY-SA 4.0.