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Character group

In mathematics, a character group is the group of representations of an abelian group by complex-valued functions. These functions can be thought of as one-dimensional matrix representations and so are special cases of the group characters that arise in the related context of character theory. Whenever a group is represented by matrices, the function…

Characters, Overview & Definition

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Orthogonality of characters

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Character group

Nodes38
Edges37
Triples15
Avg. degree1.95
Density0.052632
Components1

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Character group

Top relations

related to Alternative definition · 7
Character group → Appell, Humbert, Lambda, That, There, This, We
related to Definition · 5
Character group → If, In, That, The, This
related to Finitely generated abelian groups · 2
Character group → From, Since
is a · 1
Character group → group of representations of an abelian group by complex-valued functions

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Important terminology

group character displaystyle characters abelian mathbb theory representations groups finite complex function also functions since lambda hom text cong pi

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Character groupis agroup of representations of an abelian group by complex-valued functions0.90text
Character grouprelated to Alternative definitionThere0.60section
Character grouprelated to Alternative definitionThis0.60section
Character grouprelated to Alternative definitionLambda0.60section
Character grouprelated to Alternative definitionAppell0.60section
Character grouprelated to Alternative definitionHumbert0.60section
Character grouprelated to Alternative definitionThat0.60section
Character grouprelated to Alternative definitionWe0.60section
Character grouprelated to DefinitionIf0.60section
Character grouprelated to DefinitionThat0.60section
Character grouprelated to DefinitionThis0.60section
Character grouprelated to DefinitionThe0.60section

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