Bruhat decomposition

decomposition of a reductive algebraic group over an algebraically closed field as a disjoint union of double cosets of a Borel subgroup parameterized by the elements of the Weyl group
Intangible mathematical_concept Q4978699
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Bruhat decomposition

Summary

Bruhat decomposition is a mathematical concept[1]. It draws 39 Wikipedia views per month (mathematical_concept category, ranking #227 of 1,007).[2]

Key Facts

  • Bruhat decomposition is credited with the discovery of François Bruhat[3].
  • Bruhat decomposition's instance of is recorded as mathematical concept[4].
  • François Bruhat is named after Bruhat decomposition[5].
  • Bruhat decomposition's subclass of is recorded as Lie group decomposition[6].
  • Bruhat decomposition's time of discovery or invention is recorded as +2000-00-00T00:00:00Z[7].
  • Bruhat decomposition's Freebase ID is recorded as /m/02p3tmb[8].
  • Bruhat decomposition's defining formula is recorded as G=BWB=\bigsqcup _{w\in W}BwB[9].
  • Bruhat decomposition's studied by is recorded as group theory[10].
  • Bruhat decomposition's studied by is recorded as Lie theory[11].
  • Bruhat decomposition's nLab ID is recorded as Bruhat decomposition[12].
  • Bruhat decomposition's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Bruhat decomposition's Microsoft Academic ID is recorded as 2779215648[14].
  • Bruhat decomposition's in defining formula is recorded as B[15].
  • Bruhat decomposition's in defining formula is recorded as W[16].
  • Bruhat decomposition's in defining formula is recorded as G[17].
  • Bruhat decomposition's Encyclopedia of Mathematics article ID is recorded as Bruhat_decomposition[18].
  • Bruhat decomposition's PlanetMath ID is recorded as BruhatDecomposition[19].

Body

Works and Contributions

Bruhat decomposition is credited with the discovery of François Bruhat[3].

Why It Matters

Bruhat decomposition draws 39 Wikipedia views per month (mathematical_concept category, ranking #227 of 1,007).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . 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). Bruhat decomposition. Retrieved May 3, 2026, from https://4ort.xyz/entity/bruhat-decomposition
MLA “Bruhat decomposition.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bruhat-decomposition.
BibTeX @misc{4ortxyz_bruhat-decomposition_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bruhat decomposition}}, year = {2026}, url = {https://4ort.xyz/entity/bruhat-decomposition}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bruhat decomposition — https://4ort.xyz/entity/bruhat-decomposition (retrieved 2026-05-03)

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