See Poincaré-Birkhoff-Witt theorem in All languages combined, or Wiktionary
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{ "etymology_text": "Named after Henri Poincaré, Garrett Birkhoff, and Ernst Witt.", "forms": [ { "form": "the Poincaré-Birkhoff-Witt theorem", "tags": [ "canonical" ] } ], "head_templates": [ { "args": { "def": "1", "head": "Poincaré-Birkhoff-Witt theorem" }, "expansion": "the Poincaré-Birkhoff-Witt theorem", "name": "en-prop" } ], "lang": "English", "lang_code": "en", "pos": "name", "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English terms spelled with É", "English terms spelled with ◌́", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Mathematics" ], "glosses": [ "A result giving an explicit description of the universal enveloping algebra of a Lie algebra." ], "links": [ [ "mathematics", "mathematics" ], [ "result", "result" ], [ "explicit", "explicit" ], [ "description", "description" ], [ "universal enveloping algebra", "universal enveloping algebra" ], [ "Lie algebra", "Lie algebra" ] ], "raw_glosses": [ "(mathematics) A result giving an explicit description of the universal enveloping algebra of a Lie algebra." ], "synonyms": [ { "tags": [ "initialism" ], "word": "PBW" } ], "topics": [ "mathematics", "sciences" ] } ], "word": "Poincaré-Birkhoff-Witt theorem" }
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