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Regular representation

In mathematics, and in particular the theory of group representations, the regular representation of a group G is the linear representation afforded by the group action of G on itself by translation.

Art, Structure for finite cyclic groups & Significance of the regular representation of a group

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Structure for finite cyclic groups

12 related topics

Significance of the regular representation of a group

10 related topics

Normal bases in Galois theory

7 related topics

Finite groups

6 related topics

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Overview

Finite groups

Significance of the regular representation of a group

Module theory point of view

Structure for finite cyclic groups

Topological group case

Normal bases in Galois theory

More general algebras

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Map overview Semantic statistics

Regular representation

Nodes63
Edges62
Triples46
Avg. degree1.97
Density0.031746
Components1

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Regular representation

Top relations

related to Normal bases in Galois theory · 10
Regular representation → From, Galois, Gaussian, In, In Galois, One, Such, The, This, Z-module
related to Significance of the regular representation of a group · 9
Regular representation → By, Every, For, If, It, Let, Recall, The, Vi's
related to Module theory point of view · 7
Regular representation → If, It, The, There, This, To, You
related to More general algebras · 7
Regular representation → As, For, Frobenius, Given, In, The, They
related to Topological group case · 7
Regular representation → For, If, Lie, Pontryagin, See Peter, The, Weyl
related to Finite groups · 4
Regular representation → For, Given, K-vector, Specifically
see also · 1
Regular representation → Fundamental

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Important terminology

representation regular group theory basis field representations case linear given finite translation right element number irreducible action one left module

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lie groups.The specific definition in terms of W is as followsinstance ofIt is in this form that the regular representation is generalized to topological groups0.80text
Regular representationrelated to Finite groupsFor0.60section
Regular representationrelated to Finite groupsK-vector0.60section
Regular representationrelated to Finite groupsGiven0.60section
Regular representationrelated to Finite groupsSpecifically0.60section
Regular representationrelated to Module theory point of viewTo0.60section
Regular representationrelated to Module theory point of viewThere0.60section
Regular representationrelated to Module theory point of viewIf0.60section
Regular representationrelated to Module theory point of viewThis0.60section
Regular representationrelated to Module theory point of viewIt0.60section
Regular representationrelated to Module theory point of viewYou0.60section
Regular representationrelated to Module theory point of viewThe0.60section

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