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Character theory

In mathematics, more specifically in group theory, the character of a group representation is a function on the group that associates to each group element the trace of the corresponding matrix. The character carries the essential information about the representation in a more condensed form. Georg Frobenius initially developed representation theory of…

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Overview

Applications

Definitions

Properties

Character tables

Induced characters and Frobenius reciprocity

Mackey decomposition

"Twisted" dimension

Characters of Lie groups and Lie algebras

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Map overview Semantic statistics

Character theory

Nodes99
Edges98
Triples27
Avg. degree1.98
Density0.020202
Components1

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Character theory

Top relations

has application · 10
Character theory → Burnside's, Character, Characters, Close, Easier, Feit, Michio Suzuki, Richard Brauer, Sylow, Thompson
related to Mackey decomposition · 7
Character theory → George Mackey, HtK, If, Its, Lie, Mackey's, The Mackey
see also · 4
Character theory → Applications, Clifford, Frobenius, Irreducible
is a · 1
Character theory → essential tool in the classification of finite simple groups

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Important terminology

character group characters representation irreducible finite representations theory table class subgroup displaystyle induced conjugacy frobenius order space formula complex function

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Character theoryis aessential tool in the classification of finite simple groups0.90text
Emil Artininstance ofin the hands of mathematicians0.80text
Richard Brauerinstance ofin the hands of mathematicians0.80text
Walter Feitinstance ofin the hands of mathematicians0.80text
Michio Suzukiinstance ofin the hands of mathematicians0.80text
as well as Frobenius himselfinstance ofin the hands of mathematicians0.80text
Character theoryhas applicationCharacters0.60section
Character theoryhas applicationCharacter0.60section
Character theoryhas applicationClose0.60section
Character theoryhas applicationFeit0.60section
Character theoryhas applicationThompson0.60section
Character theoryhas applicationEasier0.60section

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    Min side: 3
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