Poincaré-Birkhoff-Witt theorem

proper noun

A result giving an explicit description of the universal enveloping algebra of a Lie algebra.

Similar
PBW
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Meanings

proper nounthe Poincaré-Birkhoff-Witt theorem
  1. mathematicsA result giving an explicit description of the universal enveloping algebra of a Lie algebra.

    Synonyms: PBW

Synonyms & antonyms

proper nounA result giving an explicit description of the universal enveloping algebra of a Lie algebra.

Similar
PBW

Origin

Named after Henri Poincaré, Garrett Birkhoff, and Ernst Witt.

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Cite this entry
APA

Poincaré-Birkhoff-Witt theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Poincar%C3%A9-Birkhoff-Witt%20theorem

MLA

“Poincaré-Birkhoff-Witt theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Poincar%C3%A9-Birkhoff-Witt%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Poincaré-Birkhoff-Witt theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Poincar%C3%A9-Birkhoff-Witt%20theorem.

Source: Poincaré-Birkhoff-Witt theorem on Wiktionary, CC BY-SA 4.0.