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Class function

In mathematics, especially in the fields of group theory and representation theory of groups, a class function is a function on a group G that is constant on the conjugacy classes of G. In other words, it is invariant under the conjugation map on G. Such functions play a basic role in representation theory.

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Characters

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Class function

Nodes33
Edges32
Triples13
Avg. degree1.94
Density0.060606
Components1

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Class function

Top relations

related to Inner products · 10
Class function → Further, Haar, Hilbert, If, In, K-vector, Peter, The, Weyl, When
related to Characters · 2
Class function → Here, The
is a · 1
Class function → function on a group G that is constant on the conjugacy classes of G

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Important terminology

class field characters group form functions representation function theory inner mathematics displaystyle sum space finite irreducible basis groups conjugation linear

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Class functionis afunction on a group G that is constant on the conjugacy classes of G0.90text
Class functionrelated to CharactersThe0.60section
Class functionrelated to CharactersHere0.60section
Class functionrelated to Inner productsThe0.60section
Class functionrelated to Inner productsK-vector0.60section
Class functionrelated to Inner productsIf0.60section
Class functionrelated to Inner productsFurther0.60section
Class functionrelated to Inner productsWhen0.60section
Class functionrelated to Inner productsHaar0.60section
Class functionrelated to Inner productsIn0.60section
Class functionrelated to Inner productsHilbert0.60section
Class functionrelated to Inner productsPeter0.60section

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    Min side: 3
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