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character of a group representation

class function associated to any finite-dimensional group representation, defined as the trace of the representation matrices
Thing general Q600043
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character of a group representation

Summary

character of a group representation ranks in the top 2% of general entities by monthly Wikipedia readership (301 views/month).[1]

Key Facts

  • character of a group representation is a type of class function[2].
  • character of a group representation is a type of trace[3].
  • character of a group representation's facet of is recorded as group representation[4].
  • character of a group representation's different from is recorded as character group[5].
  • character of a group representation's different from is recorded as multiplicative character[6].
  • character of a group representation's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Recorded subclass of include class function[2] and trace[3].

Why It Matters

character of a group representation ranks in the top 2% of general entities by monthly Wikipedia readership (301 views/month).[1] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[8] It is known by 14 alternative names across languages and contexts.[9]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [8] ↑ . Wikidata sitelinks. wikidata.org.
  3. [9] ↑ . 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). character of a group representation. Retrieved April 10, 2026, from https://4ort.xyz/entity/character-of-a-group-representation
MLA “character of a group representation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/character-of-a-group-representation.
BibTeX @misc{4ortxyz_character-of-a-group-representation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{character of a group representation}}, year = {2026}, url = {https://4ort.xyz/entity/character-of-a-group-representation}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): character of a group representation — https://4ort.xyz/entity/character-of-a-group-representation (retrieved 2026-04-10)

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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. 28d ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Subclass of → —
    Aliases → —
    Subclass of → class function, trace
    Maintained by wikiproject → WikiProject Mathematics
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007284794105171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.