Kac–Moody algebra

Lie algebra defined by generators and relations through a generalized Cartan matrix
Thing general Q856666
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Kac–Moody algebra

Summary

Kac–Moody algebra ranks in the top 2% of general entities by monthly Wikipedia readership (221 views/month).[1]

Key Facts

  • Kac–Moody algebra is credited with the discovery of Victor Kac[2].
  • Victor Kac is named after Kac–Moody algebra[3].
  • Robert Moody is named after Kac–Moody algebra[4].
  • Kac–Moody algebra is a type of generalized Kac–Moody algebra[5].
  • Kac–Moody algebra's Stack Exchange tag is recorded as https://mathoverflow.net/tags/kac-moody-algebras[6].
  • Kac–Moody algebra's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/kac-moody-algebras[7].
  • Kac–Moody algebra's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Body

Definition and Type

Kac–Moody algebra is a type of generalized it[5].

Origins

Things named after include Victor Kac[3], a mathematician[9], b. 1943[10], of Soviet Union[11], awarded the Guggenheim Fellowship[12], specialised in mathematical physics[13] and Robert Moody[4], a mathematician[14], b. 1941[15], of Canada[16], awarded the Officer of the Order of Canada[17], specialised in mathematics[18].

Why It Matters

Kac–Moody algebra ranks in the top 2% of general entities by monthly Wikipedia readership (221 views/month).[1] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[19] It 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. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.

Inline context (facts about related entities)

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

Aggregate / graph-position facts

  1. [1] ↑ . 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). Kac–Moody algebra. Retrieved October 5, 2026, from https://4ort.xyz/entity/kac-moody-algebra
MLA “Kac–Moody algebra.” 4ort.xyz Knowledge Graph, 4ort.xyz, 5 Oct. 2026, https://4ort.xyz/entity/kac-moody-algebra.
BibTeX @misc{4ortxyz_kac-moody-algebra_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Kac–Moody algebra}}, year = {2026}, url = {https://4ort.xyz/entity/kac-moody-algebra}, note = {Accessed: 2026-10-05}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Kac–Moody algebra — https://4ort.xyz/entity/kac-moody-algebra (retrieved 2026-10-05)

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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. 19w ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Discoverer or inventor → Victor Kac
    Subclass of → —
    Aliases → —
    Named after → Victor Kac, Robert Moody
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007546306105171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.