universal enveloping algebra

Hopf algebra associated to a Lie algebra
Intangible mathematical_concept Q1673406
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universal enveloping algebra

Summary

universal enveloping algebra is a mathematical concept[1]. It draws 157 Wikipedia views per month (mathematical_concept category, ranking #166 of 1,007).[2]

Key Facts

  • universal enveloping algebra's instance of is recorded as mathematical concept[3].
  • universal enveloping algebra's subclass of is recorded as Hopf algebra[4].
  • universal enveloping algebra's Freebase ID is recorded as /m/01_qc8[5].
  • universal enveloping algebra's short name is recorded as {'lang': 'en', 'text': 'UEA'}[6].
  • universal enveloping algebra's defining formula is recorded as U(\mathfrak g) = \frac{T(\mathfrak g)}{(a\otimes b-b\otimes a-[a,b]\colon a,b\in\mathfrak g)}[7].
  • universal enveloping algebra's studied by is recorded as Lie theory[8].
  • universal enveloping algebra's nLab ID is recorded as universal enveloping algebra[9].
  • universal enveloping algebra's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • universal enveloping algebra's Microsoft Academic ID is recorded as 155058155[11].
  • universal enveloping algebra's Encyclopedia of Mathematics article ID is recorded as Universal_enveloping_algebra[12].
  • universal enveloping algebra's PlanetMath ID is recorded as UniversalEnvelopingAlgebra[13].
  • universal enveloping algebra's Group Properties article ID is recorded as Universal_enveloping_algebra[14].
  • universal enveloping algebra's OpenAlex ID is recorded as C155058155[15].
  • universal enveloping algebra's ScienceDirect topic ID is recorded as mathematics/universal-enveloping-algebra[16].

Why It Matters

universal enveloping algebra draws 157 Wikipedia views per month (mathematical_concept category, ranking #166 of 1,007).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[17] It is known by 7 alternative names across languages and contexts.[18]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Hopf Algebras. wikidata.org.
  3. [5] . Freebase Data Dumps. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. wikidata.org.
  3. [18] . 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). universal enveloping algebra. Retrieved May 3, 2026, from https://4ort.xyz/entity/universal-enveloping-algebra
MLA “universal enveloping algebra.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/universal-enveloping-algebra.
BibTeX @misc{4ortxyz_universal-enveloping-algebra_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{universal enveloping algebra}}, year = {2026}, url = {https://4ort.xyz/entity/universal-enveloping-algebra}, note = {Accessed: 2026-05-03}}
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