Lie group

group that is also a smooth manifold with group operations that are smooth
Intangible mathematical_concept Q622679
Lie group
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Lie group

Summary

Lie group is a mathematical concept[1]. It ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (769 views/month).[2]

Key Facts

  • Lie group is credited with the discovery of Sophus Lie[3].
  • Lie group's image is recorded as Quaternions SO(3) cube.svg[4].
  • Lie group's instance of is recorded as mathematical concept[5].
  • Sophus Lie is named after Lie group[6].
  • Lie group's GND ID is recorded as 4035695-4[7].
  • Lie group's Library of Congress authority ID is recorded as sh85076786[8].
  • Lie group's Bibliothèque nationale de France ID is recorded as 11946908c[9].
  • Lie group's IdRef ID is recorded as 02742474X[10].
  • Lie group's subclass of is recorded as group object[11].
  • Lie group's subclass of is recorded as topological group[12].
  • Lie group's subclass of is recorded as analytic manifold[13].
  • Lie group's subclass of is recorded as parallelizable manifold[14].
  • Lie group's NDL Authority ID is recorded as 00567368[15].
  • Lie group's Commons category is recorded as Lie groups[16].
  • Lie group's BNCF Thesaurus ID is recorded as 19550[17].
  • Lie group's time of discovery or invention is recorded as +1870-00-00T00:00:00Z[18].
  • Lie group's Freebase ID is recorded as /m/04kb4[19].
  • Lie group's NL CR AUT ID is recorded as ph117709[20].
  • Lie group's topic's main category is recorded as Category:Lie groups[21].
  • Lie group's National Library of Spain SpMaBN ID is recorded as XX535210[22].
  • Lie group's Dewey Decimal Classification is recorded as 512.482[23].
  • Lie group's PSH ID is recorded as 7601[24].
  • Lie group's Gran Enciclopèdia Catalana ID is recorded as 0037219[25].
  • Lie group's Encyclopædia Britannica Online ID is recorded as topic/Lie-group[26].
  • Lie group's topic has template is recorded as Template:Lie groups[27].

Body

Works and Contributions

Lie group is credited with the discovery of Sophus Lie[3].

Why It Matters

Lie group ranks in the top 3% of mathematical_concept entities by monthly Wikipedia readership (769 views/month).[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[28] It is known by 25 alternative names across languages and contexts.[29]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . Emergence of the Theory of Lie Groups. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Integrated Authority File. Retrieved . wikidata.org.
  6. [8] . Nuovo soggettario. Retrieved . wikidata.org.
  7. [9] . Nuovo soggettario. Retrieved . wikidata.org.
  8. [10] . SUDOC. Retrieved . 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] . Nuovo soggettario. wikidata.org.
  16. [18] . Emergence of the Theory of Lie Groups. wikidata.org.
  17. [19] . Freebase Data Dumps. wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . datos.bne.es. 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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). Lie group. Retrieved May 3, 2026, from https://4ort.xyz/entity/lie-group
MLA “Lie group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/lie-group.
BibTeX @misc{4ortxyz_lie-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Lie group}}, year = {2026}, url = {https://4ort.xyz/entity/lie-group}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Lie group — https://4ort.xyz/entity/lie-group (retrieved 2026-05-03)

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