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 (1,835 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 is a type of quasi-Lie algebra[6].
  • Lie algebra is a type of Lie superalgebra[7].
  • Lie algebra is a type of Lie algebroid[8].
  • Lie algebra is a type of algebraic structure[9].
  • Lie algebra is a type of non-associative algebra[10].
  • Lie algebra comprises vector space[11].
  • Lie algebra comprises Lie bracket[12].
  • Lie algebra's topic's main category is recorded as Category:Lie algebras[13].
  • Lie algebra's Stack Exchange tag is recorded as https://mathoverflow.net/tags/lie-algebras[14].
  • Lie algebra's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/lie-algebras[15].
  • Lie algebra's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/lie-algebra[16].
  • Lie algebra's has characteristic is recorded as rank of a Lie algebra[17].
  • Lie algebra's studied by is recorded as Lie theory[18].
  • Lie algebra's maintained by WikiProject is recorded as WikiProject Mathematics[19].

Body

Definition and Type

Lie algebra's instance of is recorded as mathematical concept[4]. Recorded subclass of include quasi-It[6], Lie superalgebra[7], Lie algebroid[8], algebraic structure[9], and non-associative algebra[10].

Origins

Sophus Lie is named after Lie algebra[5].

Use and Application

Components include vector space[11] and Lie bracket[12].

Influence

Things named for Lie algebra include Lie algebroid[20].

Why It Matters

Lie algebra ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (1,835 views/month).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[21]

Entities named for it include Lie algebroid[20].

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] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . 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] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [20] . wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [21] . 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)

Canonical URL: https://4ort.xyz/entity/lie-algebra · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Discoverer or inventor Hermann Weyl
    Has part(s) vector space, Lie bracket
    Has parts
    Instance of mathematical concept
    + 10 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007529233905171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.