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Poincaré–Birkhoff–Witt theorem

explicitly describes the universal enveloping algebra of a Lie algebra
Intangible theorem Q2270905
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Poincaré–Birkhoff–Witt theorem

Summary

Poincaré–Birkhoff–Witt theorem is a theorem[1]. It draws 38 Wikipedia views per month (theorem category, ranking #243 of 1,306).[2]

Key Facts

  • Poincaré–Birkhoff–Witt theorem's instance of is recorded as theorem[3].
  • Henri Poincaré is named after Poincaré–Birkhoff–Witt theorem[4].
  • Garrett Birkhoff is named after Poincaré–Birkhoff–Witt theorem[5].
  • Ernst Witt is named after Poincaré–Birkhoff–Witt theorem[6].
  • Poincaré–Birkhoff–Witt theorem's GND ID is recorded as 4792948-0[7].
  • Poincaré–Birkhoff–Witt theorem's part of is recorded as list of theorems[8].
  • Poincaré–Birkhoff–Witt theorem's Freebase ID is recorded as /m/039b9z[9].
  • Poincaré–Birkhoff–Witt theorem's MathWorld ID is recorded as Poincare-Birkhoff-WittTheorem[10].
  • Poincaré–Birkhoff–Witt theorem's nLab ID is recorded as PBW theorem[11].
  • Poincaré–Birkhoff–Witt theorem's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Poincaré–Birkhoff–Witt theorem's Microsoft Academic ID is recorded as 2780400254[13].

Why It Matters

Poincaré–Birkhoff–Witt theorem draws 38 Wikipedia views per month (theorem category, ranking #243 of 1,306).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[14] It is known by 16 alternative names across languages and contexts.[15]

Related Entities

George David Birkhoff Henri Poincaré

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . Freebase Data Dumps. wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Poincaré–Birkhoff–Witt theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/poincar-birkhoff-witt-theorem
MLA “Poincaré–Birkhoff–Witt theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/poincar-birkhoff-witt-theorem.
BibTeX @misc{4ortxyz_poincar-birkhoff-witt-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Poincaré–Birkhoff–Witt theorem}}, year = {2026}, url = {https://4ort.xyz/entity/poincar-birkhoff-witt-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Poincaré–Birkhoff–Witt theorem — https://4ort.xyz/entity/poincar-birkhoff-witt-theorem (retrieved 2026-05-03)

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