Grassmannian

space of linear subspaces of a fixed vector space
Intangible mathematical_concept Q129638
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Grassmannian

Summary

Grassmannian is a mathematical concept[1]. Grassmannian draws 342 Wikipedia views per month (mathematical_concept category, ranking #101 of 1,007).[2]

Key Facts

  • Grassmannian's instance of is recorded as mathematical concept[3].
  • Hermann Grassmann is named after Grassmannian[4].
  • Grassmannian's subclass of is recorded as flag variety[5].
  • Grassmannian's subclass of is recorded as smooth manifold[6].
  • Grassmannian's Freebase ID is recorded as /m/020sgw[7].
  • Grassmannian's described by source is recorded as Introduction to Smooth Manifolds[8].
  • Grassmannian's Stack Exchange tag is recorded as https://mathoverflow.net/tags/grassmannians[9].
  • Grassmannian's defining formula is recorded as \operatorname{Gr}(k,n) =\frac{\operatorname O(n)}{\operatorname O(k)\times\operatorname O(n-k)}[10].
  • Grassmannian's BabelNet ID is recorded as 03085347n[11].
  • Grassmannian's MathWorld ID is recorded as GrassmannManifold[12].
  • Grassmannian's nLab ID is recorded as Grassmannian[13].
  • Grassmannian's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Grassmannian's Microsoft Academic ID is recorded as 162929932[15].
  • Grassmannian's in defining formula is recorded as \operatorname O(k)[16].
  • Grassmannian's Encyclopedia of Mathematics article ID is recorded as Grassmann_manifold[17].
  • Grassmannian's OpenAlex ID is recorded as C162929932[18].

Why It Matters

Grassmannian draws 342 Wikipedia views per month (mathematical_concept category, ranking #101 of 1,007).[2] Grassmannian has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[19] Grassmannian is known by 3 alternative names across languages and contexts.[20]

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] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . BabelNet. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . 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). Grassmannian. Retrieved May 3, 2026, from https://4ort.xyz/entity/grassmannian
MLA “Grassmannian.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/grassmannian.
BibTeX @misc{4ortxyz_grassmannian_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Grassmannian}}, year = {2026}, url = {https://4ort.xyz/entity/grassmannian}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Grassmannian — https://4ort.xyz/entity/grassmannian (retrieved 2026-05-03)

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