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Coadjoint representation

In mathematics, the coadjoint representation K {\displaystyle K} of a Lie group G {\displaystyle G} is the dual of the adjoint representation. If g {\displaystyle {\mathfrak {g}}} denotes the Lie algebra of G {\displaystyle G} , the corresponding action of G {\displaystyle G} on g ∗ {\displaystyle {\mathfrak {g}}^{*}} , the dual space to g {\displaystyle…

Coadjoint orbit, Formal definition & Overview

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Formal definition

Coadjoint orbit

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Coadjoint representation

Nodes24
Edges23
Triples6
Avg. degree1.92
Density0.083333
Components1

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Coadjoint representation

Top relations

related to Formal definition · 6
Coadjoint representation → Ad, Aut, GL, Let, Lie, Then

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Important terminology

displaystyle coadjoint mathfrak lie orbit orbits representation mathrm ad algebra action space dual group kirillov mu omega adjoint may role

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Coadjoint representationrelated to Formal definitionLet0.60section
Coadjoint representationrelated to Formal definitionLie0.60section
Coadjoint representationrelated to Formal definitionAd0.60section
Coadjoint representationrelated to Formal definitionAut0.60section
Coadjoint representationrelated to Formal definitionThen0.60section
Coadjoint representationrelated to Formal definitionGL0.60section

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    Min side: 3
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