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Compact group

In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space. Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and…

Compact Lie groups, Representation theory of a connected compact Lie group & Haar measure

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Overview

Compact Lie groups

Further examples

Haar measure

Representation theory

Representation theory of a connected compact Lie group

Duality

From compact to non-compact groups

Bibliography

  • ISBN ISBN (identifier)

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Map overview Semantic statistics

Compact group

Nodes95
Edges94
Triples81
Avg. degree1.98
Density0.021053
Components1

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Compact group

Top relations

related to Bibliography · 21
Compact group → Berlin, Brian, Bröcker, Compact Lie Groups, Dieck, Graduate Texts, Gruyter, ISBN, Karl, Lie Algebras, Lie Groups, Mathematics, Morris, Representations, Representations An Elementary Introduction, Sidney, Springer, SpringerHall, Tammo, The
related to Representation theory · 12
Compact group → Cartan's, Further, Here, Hermann Weyl, If, Im, Lie, Peter, That, The, Weyl, Weyl's
related to Fundamental group and center · 8
Compact group → For, It, Lie, SO, Sp, SU, The, Thus
related to Further examples · 8
Compact group → Amongst, Galois, In, Lie, Pontryagin, These, This, Zp
related to Haar measure · 7
Compact group → Adolf Hurwitz, Compact, Haar, In, Lie, Such, Therefore
related to Maximal tori and root systems · 7
Compact group → Cartan, In, Lie, SU, The, These, Weyl
related to From compact to non-compact groups · 6
Compact group → Harish-Chandra, Inside, Lie, The, Weyl, Weyl's
related to The SU(2) case · 5
Compact group → According, Lie, SU, The, We
related to Duality · 4
Compact group → Krein, Tannaka, Tannakian, The
see also · 3
Compact group → Lie, Peter, Weyl

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Important terminology

displaystyle compact lie group groups representation representations weyl theory theorem connected character lambda weight integral irreducible formula maximal form torus

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Compact grouprelated to BibliographyBröcker0.60section
Compact grouprelated to BibliographyTheodor0.60section
Compact grouprelated to BibliographyDieck0.60section
Compact grouprelated to BibliographyTammo0.60section
Compact grouprelated to BibliographyRepresentations0.60section
Compact grouprelated to BibliographyCompact Lie Groups0.60section
Compact grouprelated to BibliographyGraduate Texts0.60section
Compact grouprelated to BibliographyMathematics0.60section
Compact grouprelated to BibliographySpringerHall0.60section
Compact grouprelated to BibliographyBrian0.60section
Compact grouprelated to BibliographyLie Groups0.60section
Compact grouprelated to BibliographyLie Algebras0.60section

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    Min side: 3
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