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Cartan's criterion

criterion for solvability of a Lie algebra over a characteristic-zero field
Intangible theorem Q5047038
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Cartan's criterion

Summary

Cartan's criterion is a theorem[1]. It draws 8 Wikipedia views per month (theorem category, ranking #271 of 1,306).[2]

Key Facts

  • Cartan's criterion's instance of is recorded as theorem[3].
  • Élie Cartan is named after Cartan's criterion[4].
  • Cartan's criterion's Freebase ID is recorded as /m/02p737m[5].
  • Cartan's criterion's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • Cartan's criterion's Microsoft Academic ID is recorded as 2780218794[7].

Why It Matters

Cartan's criterion draws 8 Wikipedia views per month (theorem category, ranking #271 of 1,306).[2] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[8]

Related Entities

Élie Cartan

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . 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). Cartan's criterion. Retrieved May 3, 2026, from https://4ort.xyz/entity/cartan-s-criterion
MLA “Cartan's criterion.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/cartan-s-criterion.
BibTeX @misc{4ortxyz_cartan-s-criterion_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Cartan's criterion}}, year = {2026}, url = {https://4ort.xyz/entity/cartan-s-criterion}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Cartan's criterion — https://4ort.xyz/entity/cartan-s-criterion (retrieved 2026-05-03)

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