Lie algebra

vector space with an alternating binary operation satisfying the Jacobi identity.
Intangible mathematical_concept Q664495
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Lie algebra

Summary

Lie algebra is a mathematical concept[1]. It ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (679 views/month).[2]

Key Facts

  • Lie algebra is credited with the discovery of Hermann Weyl[3].
  • Lie algebra's instance of is recorded as mathematical concept[4].
  • Sophus Lie is named after Lie algebra[5].
  • Lie algebra's GND ID is recorded as 4130355-6[6].
  • Lie algebra's Library of Congress authority ID is recorded as sh85076782[7].
  • Lie algebra's Bibliothèque nationale de France ID is recorded as 119444791[8].
  • Lie algebra's IdRef ID is recorded as 027392600[9].
  • Lie algebra's subclass of is recorded as quasi-Lie algebra[10].
  • Lie algebra's subclass of is recorded as Lie superalgebra[11].
  • Lie algebra's subclass of is recorded as Lie algebroid[12].
  • Lie algebra's subclass of is recorded as algebraic structure[13].
  • Lie algebra's subclass of is recorded as non-associative algebra[14].
  • Lie algebra's NDL Authority ID is recorded as 00567367[15].
  • Lie algebra's BNCF Thesaurus ID is recorded as 39681[16].
  • Lie algebra's has part is recorded as vector space[17].
  • Lie algebra's has part is recorded as Lie bracket[18].
  • Lie algebra's Freebase ID is recorded as /m/04k9n[19].
  • Lie algebra's NL CR AUT ID is recorded as ph234835[20].
  • Lie algebra's topic's main category is recorded as Category:Lie algebras[21].
  • Lie algebra's National Library of Spain SpMaBN ID is recorded as XX535297[22].
  • Lie algebra's Dewey Decimal Classification is recorded as 512.482[23].
  • Lie algebra's Gran Enciclopèdia Catalana ID is recorded as 0037218[24].
  • Lie algebra's Encyclopædia Britannica Online ID is recorded as topic/Lie-algebra[25].
  • Lie algebra's Stack Exchange tag is recorded as https://mathoverflow.net/tags/lie-algebras[26].
  • Lie algebra's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/lie-algebras[27].

Body

Works and Contributions

Lie algebra is credited with the discovery of Hermann Weyl[3]. Things named for it include Lie algebroid[28].

Why It Matters

Lie algebra ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (679 views/month).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[29]

Entities named for it include Lie algebroid[28].

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [3] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Integrated Authority File. Retrieved . wikidata.org.
  5. [7] . Nuovo soggettario. Retrieved . wikidata.org.
  6. [8] . Nuovo soggettario. Retrieved . wikidata.org.
  7. [9] . SUDOC. Retrieved . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . Nuovo soggettario. wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . Freebase Data Dumps. wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . Biblioteca Nacional de España. Retrieved . bne.es. Provenance: wikidata.org.
  21. [23] . Nuovo soggettario. Retrieved . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [28] . wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [29] . Wikidata sitelinks. 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). Lie algebra. Retrieved May 3, 2026, from https://4ort.xyz/entity/lie-algebra
MLA “Lie algebra.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/lie-algebra.
BibTeX @misc{4ortxyz_lie-algebra_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Lie algebra}}, year = {2026}, url = {https://4ort.xyz/entity/lie-algebra}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Lie algebra — https://4ort.xyz/entity/lie-algebra (retrieved 2026-05-03)

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