Borel–Weil–Bott theorem

basic result in the representation theory of Lie groups
Intangible theorem Q4944923
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Borel–Weil–Bott theorem

Summary

Borel–Weil–Bott theorem is a theorem[1].

Key Facts

  • Borel–Weil–Bott theorem's instance of is recorded as theorem[2].
  • Armand Borel is named after Borel–Weil–Bott theorem[3].
  • André Weil is named after Borel–Weil–Bott theorem[4].
  • Raoul Bott is named after Borel–Weil–Bott theorem[5].
  • Borel–Weil–Bott theorem is part of list of theorems[6].
  • Borel–Weil–Bott theorem's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Borel–Weil–Bott theorem's instance of is recorded as theorem[2].

Origins

Things named after include Armand Borel[3], a mathematician[8], 1923–2003[9], of Switzerland[10], awarded the Balzan Prize[11], specialised in topology[12]; André Weil[4], a mathematician[13], 1906–1998[14], of France[15], awarded the Guggenheim Fellowship[16], specialised in algebraic geometry[17]; and Raoul Bott[5], a mathematician[18], 1923–2005[19], of United States[20], awarded the Guggenheim Fellowship[21], specialised in differential geometry[22].

Use and Application

Borel–Weil–Bott theorem is part of list of theorems[6].

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.

Inline context (facts about related entities)

  1. [8] . Wikidata. wikidata.org. → on this site
  2. [9] . Wikidata. wikidata.org. → on this site
  3. [10] . Wikidata. wikidata.org. → on this site
  4. [11] . Wikidata. wikidata.org. → on this site
  5. [12] . Wikidata. wikidata.org. → on this site
  6. [13] . Wikidata. wikidata.org. → on this site
  7. [14] . Wikidata. wikidata.org. → on this site
  8. [15] . Wikidata. wikidata.org. → on this site
  9. [16] . Wikidata. wikidata.org. → on this site
  10. [17] . Wikidata. wikidata.org. → on this site
  11. [18] . Wikidata. wikidata.org. → on this site
  12. [19] . Wikidata. wikidata.org. → on this site
  13. [20] . Wikidata. wikidata.org. → on this site
  14. [21] . Wikidata. wikidata.org. → on this site
  15. [22] . Wikidata. wikidata.org. → on this site

Class ancestry

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

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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). Borel–Weil–Bott theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/borel-weil-bott-theorem
MLA “Borel–Weil–Bott theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/borel-weil-bott-theorem.
BibTeX @misc{4ortxyz_borel-weil-bott-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Borel–Weil–Bott theorem}}, year = {2026}, url = {https://4ort.xyz/entity/borel-weil-bott-theorem}, note = {Accessed: 2026-05-03}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 6w ago · Infovarius · 2026-08-07 view diff on Wikidata ↗
    Maintained by wikiproject WikiProject Mathematics
    Proofwiki id Borel-Bott-Weil_Theorem
    Imported from
    Part of list of theorems
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P361]]: [[Q13220368]], import w/ [[Wikidata:Wwwyzzerdd|🧙 Wwwyzzerdd for Wikidata]]"
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