Cartan subalgebra

noun

A certain kind of nilpotent subalgebra of a Lie algebra.

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Meanings

nounCartan subalgebra (plural Cartan subalgebras)

plural Cartan subalgebras

  1. mathematicsA certain kind of nilpotent subalgebra of a Lie algebra.

    Synonyms: CSA

Synonyms & antonyms

nounA certain kind of nilpotent subalgebra of a Lie algebra.

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Origin

Introduced by Élie Cartan in his doctoral thesis.

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Cite this entry
APA

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

MLA

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

Chicago

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

Source: Cartan subalgebra on Wiktionary, CC BY-SA 4.0.