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Hopf algebra

bialgebra that admits an antipode
Intangible mathematical_concept Q1627597
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Hopf algebra

Summary

Hopf algebra is a mathematical concept[1]. It draws 809 Wikipedia views per month (mathematical_concept category, ranking #121 of 1,007).[2]

Key Facts

  • Hopf algebra's instance of is recorded as mathematical concept[3].
  • Heinz Hopf is named after Hopf algebra[4].
  • Hopf algebra is a type of bialgebra[5].
  • Hopf algebra is a type of quasi-Hopf algebra[6].
  • Hopf algebra is a type of weak Hopf algebra[7].
  • Hopf algebra's topic's main category is recorded as Category:Hopf algebras[8].
  • Hopf algebra's Stack Exchange tag is recorded as https://mathoverflow.net/tags/hopf-algebras[9].
  • Hopf algebra's Stack Exchange tag is recorded as https://math.stachexchange.com/tags/hopf-algebras[10].
  • Hopf algebra's Stack Exchange tag is recorded as https://physics.stachexchange.com/tags/hopf-algebra[11].
  • Hopf algebra's studied by is recorded as abstract algebra[12].
  • Hopf algebra's maintained by WikiProject is recorded as WikiProject Mathematics[13].

Body

Definition and Type

Hopf algebra's instance of is recorded as mathematical concept[3]. Recorded subclass of include bialgebra[5], quasi-It[6], and weak it[7].

Origins

Heinz Hopf is named after Hopf algebra[4].

Why It Matters

Hopf algebra draws 809 Wikipedia views per month (mathematical_concept category, ranking #121 of 1,007).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[14] It is known by 3 alternative names across languages and contexts.[15]

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] ↑ . Hopf Algebras. 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . 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). Hopf algebra. Retrieved May 3, 2026, from https://4ort.xyz/entity/hopf-algebra
MLA “Hopf algebra.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hopf-algebra.
BibTeX @misc{4ortxyz_hopf-algebra_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hopf algebra}}, year = {2026}, url = {https://4ort.xyz/entity/hopf-algebra}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hopf algebra — https://4ort.xyz/entity/hopf-algebra (retrieved 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. 5d ago · Twofivesixbot bot · 2026-05-27 view diff on Wikidata ↗
    Instance of → mathematical concept
    Subclass of → —
    Maintained by wikiproject → WikiProject Mathematics
    Aliases → —
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007565416805171, mv to monolingual text names on J9U statements"
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